AsianEuropean Journal of Mathematics
Journal Prestige (SJR): 0.168 Number of Followers: 2 Hybrid journal (It can contain Open Access articles) ISSN (Print) 17935571  ISSN (Online) 17937183 Published by World Scientific [121 journals] 
 Author index (Vol. 15)

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Abstract: AsianEuropean Journal of Mathematics, Volume 15, Issue 12, December 2022.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221103T07:00:00Z
DOI: 10.1142/S1793557122990017
Issue No: Vol. 15, No. 12 (2022)

 Strong convergence analysis of modified Manntype forward–backward
scheme for solving quasimonotone variational inequalities
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Authors: Nopparat Wairojjana, Chainarong Khunpanuk, Nuttapol Pakkaranang
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The paper proposes multiple new extragradient methods for solving a variational inequality problem involving quasimonotone operators in infinitedimensional real Hilbert spaces. These methods contain variable stepsize rules that are revised at each iteration and are dependent on prior iterations. These algorithms have the benefit of not requiring prior knowledge of the Lipschitz constant or any linesearch approach. Simple conditions are used to demonstrate the algorithm’s convergence. A collection of simple experiments is presented to show the numerical behavior of the algorithms.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221123T08:00:00Z
DOI: 10.1142/S1793557123500912

 Applications of the [math]Wanas operator for a certain family of
biunivalent functions defined by subordination
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Authors: Abbas Kareem Wanas, Ahmed Mohsin Mahdi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this work, we introduce and investigate a certain family [math] of holomorphic and biunivalent functions which are defined in the open unit disk [math] associated with [math]Wanas operator. The estimates on the initial Taylor–Maclaurin coefficients [math] and [math] for the certain family are obtained. Also, we solve the Fekete–Szegö type inequality for functions in this family.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221123T08:00:00Z
DOI: 10.1142/S179355712350095X

 Multiplicative Jordan nhigher derivations on alternative rings containing
idempotents
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Authors: Ab Hamid Kawa, S. N. Hasan, B. A. Wani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Suppose [math] is an alternative ring containing a nontrivial idempotent and [math] be a mapping from [math] into itself. In this paper, we study the Jordan nhigher derivations on alternative rings and prove that under some mild conditions every multiplicative Jordan nhigher derivations on [math] is additive. It is to be noted that the similarity to the notions is only in its written form, but not in its theoretical structures, because the Pierce decomposition used in the results for alternative rings is the generalization of the Pierce decomposition for associative rings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221119T08:00:00Z
DOI: 10.1142/S179355712350081X

 Certain types of minimum covering Estrada index of graphs

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Authors: Hajar Shooshtari, Maryam Atapour, Murat Cancan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a simple, finite, undirected graph with [math] vertices. The main purpose of this paper introduces the concepts of the minimum covering Gutman Estrada index, the minimum covering Seidel Estrada index, the minimum covering distance Estrada index, the minimum covering Randić Estrada index, the minimum covering Harary Estrada index, and the minimum covering color Estrada index of a graph. First, we compute the new concepts for some of the graphs, such as cocktail party, star, crown, complete and complete bipartite. Moreover, we establish upper and lower bounds for the new concepts.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221119T08:00:00Z
DOI: 10.1142/S1793557123500821

 Evolution of geometric constant evolving along extended Ricci flow

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Authors: Shahroud Azami
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We investigate the behavior of the lowest geometric constant, [math], along the extended Ricci flow such that there exist positive solutions to the following partial differential equation: −Δu + aulog u + bScu = λ a,bc(g)u with [math], where [math] and [math] are real constants. We drive the evolution formula for the geometric constant [math] along the unnormalized and normalized extended Ricci flow. Moreover, we give some monotonic quantities involving [math] along the extended Ricci flow by imposing some geometric conditions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221119T08:00:00Z
DOI: 10.1142/S1793557123500900

 An upper bound to the second Hankel determinant for a new class of
univalent functions
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Authors: Mallikarjun G. Shrigan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce and investigate a newlyconstructed class of univalent functions in the open disk. For this function class, we obtain upper bounds for the second Hankel determinant [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221119T08:00:00Z
DOI: 10.1142/S1793557123500924

 Slant curves and Legendre curves in threedimensional Walker manifolds

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Authors: Khadidja Derkaoui, Fouzi Hathout, Hamou Mohammed Dida
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study slant curves and Legendre curves in threedimensional Walker manifolds. We give a classification of these curves and we present a necessary and sufficient condition for a slant curve to admit a proper mean curvature vector field. We close the study by examples.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221115T08:00:00Z
DOI: 10.1142/S1793557123500870

 Modules whose zclosed submodules are essentially embedded in summands

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Authors: Figen Takil Mutlu, Adnan Tercan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we work out modules with the property that every [math]closed submodules are essentially embedded in direct summands. This class of modules properly contains the class of CSmodules as well as some of their generalizations. It is shown that the class of modules with former property is closed under direct sums under a certain condition. Taking into account this case, we obtain several results on the inheritance of the latter closure property. Moreover, we consider the behavior of this new property for extensions of modules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221111T08:00:00Z
DOI: 10.1142/S1793557123500882

 Measurable functional calculi and spectral theory in the reflexive Banach
spaces
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Authors: Mykola Ivanovich Yaremenko
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we consider the spectral theory. More precisely, we study the spectral families and their corresponding operators on reflexive Banach spaces. Assume [math] is a wellbounded operator on reflexive Lebesgue spaces then the operator [math] is a scalartype spectral operator. We establish that if a weak spectral family [math] is concentrated on [math] then there exists a linear wellbounded operator [math] on the reflexive Banach space [math], such that [math] holds for all [math] and [math]. We prove that by assuming [math] is a functional calculus on the measurable space [math], then there are a semifinite measure space [math] and solitary operator [math], and an injective pointwise continuous ∗homomorphism [math], such that [math] holds for any operator of the multiplication [math] that multiplies by function [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221109T08:00:00Z
DOI: 10.1142/S1793557123500791

 On representations of Plesken Lie algebras

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Authors: S. N. Arjun, P. G. Romeo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Cohen and Taylor [On a certain Lie algebra defined by a finite group, Am. Math. Mon. 114 (2007) 633–639] introduced certain Lie algebras constructed using finite groups called the Plesken Lie algebras. In this paper, we describe the representation of these Plesken Lie algebras, their irreducibility and the Plesken Lie algebra modules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221109T08:00:00Z
DOI: 10.1142/S1793557123500857

 The number of spanning trees and maximum matchings of Fibonacci graphs

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Authors: Emrah Akyar, Handan Akyar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study the enumeration of spanning trees and maximum matchings of the Fibonacci graphs. It is proved that the number of all spanning trees of a Fibonacci graph with [math] vertices is [math]th Fibonacci number. We also obtained a formula for the number of maximum matchings of Fibonacci graphs in terms of Fibonacci numbers.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221109T08:00:00Z
DOI: 10.1142/S1793557123500894

 On certain Kampé de Férietlike hypergeometric matrix functions

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Authors: Ravi Dwivedi, Vivek Sahai
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce certain Kampé de Férietlike matrix functions and investigate their regions of convergence and recurrence relations satisfied by them. The importance of studying these matrix functions stems from the fact that the derivatives of arbitrary integral order of confluent hypergeometric matrix function and Gauss hypergeometric matrix function with respect to their matrix parameters can be expressed in the form of these Kampé de Férietlike matrix functions. Integral representations of these matrix functions in a special case are also given.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221107T08:00:00Z
DOI: 10.1142/S1793557123500808

 On [math]statistical convergence of complex uncertain sequences

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Authors: Birojit Das, Binod Chnadra Tripathy
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The main aim of this paper is to introduce the notion of [math]statistical convergence in a given uncertainty space by considering sequences of complex uncertain variable. Also, we study the interrelationship between [math]statistical convergence with strongly [math]summable sequence in the same environment. Further, we extend the study by initiating the notions of [math]statistically Cauchy complex uncertain sequence.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221107T08:00:00Z
DOI: 10.1142/S1793557123500833

 Coefficient inequalities for a subfamily of Sakaguchi functions

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Authors: Pratima Rai, Sushil Kumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we explore a subfamily of starlike functions with respect to symmetric points allied with the hyperbolic cosine function. We study Hermitian–Toeplitz determinants of third and fourth orders for the functions belonging to this subfamily. Further, we calculate estimates on the initial successive inverse coefficients as well as logarithmic coefficients and related functionals for such functions. In addition, we also determine bounds on Hankel determinants of third order and symmetric Toeplitz determinants of second and third orders.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221103T07:00:00Z
DOI: 10.1142/S1793557123500845

 Peg solitaire on graphs — A survey

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Authors: JanHendrik de Wiljes, Martin Kreh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
One decade ago, Beeler and Hoilman introduced the game of peg solitaire to arbitrary graphs. Since then, some progress has been made characterizing solvable graphs. Furthermore, several variants of the original game have been considered. The main goal of this paper is to give a proper overview of the results that have been obtained so far (until December 2021) as well as to show which methods are used to prove these. We also present important open questions and research directions, including some new results. The content should be helpful to mathematicians already interested in this topic, but, on the other hand, will provide a perfect starting point for (also early career) researchers looking for a fruitful topic in combinatorial game theory.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221031T07:00:00Z
DOI: 10.1142/S1793557123500596

 Some characterizations on indefinite space forms admitting almost contact
structures
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Authors: Bilal Eftal Acet, Mehmet Gülbahar, Erol Kılıç
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, the projective curvature tensor field of a generalized indefinite Sasakian space form is investigated. Some results dealing with projectively semisymmetric and [math]projectively semisymmetric generalized indefinite Sasakian space forms are obtained. Furthermore, biharmonic Legendre Frenet curves are discussed on these manifolds.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221031T07:00:00Z
DOI: 10.1142/S1793557123500869

 On the rank of monoids of endomorphisms of a finite directed path

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Authors: Vítor H. Fernandes, Tânia Paulista
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we consider endomorphisms of a finite directed path from monoid generators perspective. Our main aim is to determine the rank of the monoid [math] of all weak endomorphisms of a directed path with [math] vertices, which is a submonoid of the widely studied monoid [math] of all orderpreserving transformations of an [math]chain. Also, we describe the regular elements of [math] and calculate its size and number of idempotents.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221028T07:00:00Z
DOI: 10.1142/S1793557123500699

 Complete decomposition of dihedral groups with application to key exchange
protocol
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Authors: Denis C. K. Wong
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this work, we perform an investigation on the hardness of finding complete decompositions of dihedral groups and show an application of complete decomposition by constructing a Diffie–Hellmantype key exchange protocol.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221028T07:00:00Z
DOI: 10.1142/S1793557123500742

 Existence and uniqueness of the mild solution of an abstract nonlocal
semilinear fractional integrodifferential equation
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Authors: Mohamed A. E. Herzallah, Ashraf H. A. Radwan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The purpose of this paper is to study the existence and uniqueness of mild solutions to a semilinear Cauchy problem for an abstract nonlocal fractional integrodifferential equation, which has a distinctive nonlinear term. Two sufficient conditions on the existence of mild solutions will be displayed. Continuous dependence of solutions on initial conditions and local [math]approximate mild solutions will be discussed. An example will be given to elucidate the main results. The results obtained are based upon the method of semigroups, contraction mapping principle, and Krasnoselskii’s fixed point theorem.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221028T07:00:00Z
DOI: 10.1142/S1793557123500766

 Some convergence results using a new iteration process for generalized
nonexpansive mappings in Banach spaces
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Authors: Seyi̇t Temi̇r, Öznur Korkut
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a new iterative process for approximation fixed points. We show the stability of our proposed iteration process. We prove some weak and strong convergence theorems for generalized [math]nonexpansive mappings in the framework of uniformly convex Banach spaces. We also provide an example of a generalized [math]nonexpansive mapping to show numerically that our iteration is faster than various prominent iteration processes.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221028T07:00:00Z
DOI: 10.1142/S1793557123500778

 Oneparameter generalization of the bihyperbolic Jacobsthal numbers

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Authors: Dorota Bród, Anetta SzynalLiana, Iwona Włoch
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce and study a oneparameter generalization of bihyperbolic Jacobsthal numbers. We give some identities and the generating function for these numbers.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221025T07:00:00Z
DOI: 10.1142/S1793557123500754

 Primitive idempotents in a semisimple ring

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Authors: Inderjit Singh, Pankaj Kumar, Monika Sangwan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be distinct primes, [math] odd. Let [math], where [math] be an integer. In this paper, it is observed that the explicit expressions of primitive idempotents from [math] are sufficient to compute the explicit expressions of primitive idempotent in semisimple ring [math]. It is also shown that the results obtained in [A. Sahni and P. T. Sehgal, Minimal cyclic codes of length [math], Finite Fields Appl. 18(5) (2012) 1017–1036; P. Kumar and S. K. Arora, [math]mapping and primitive idempotents in semisimple ring [math], Comm. Algebra 41(10) (2013) 3679–3694] are simple corollaries to the results obtained in the paper.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500614

 Identities of the Jones monoid [math]

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Authors: M. H. Shahzamanian
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Jones monoids [math], for [math], is a family of monoids relevant in knot theory. The purpose of this paper is to characterize the identities satisfied by the Jones monoid [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500638

 Isomorphism extension properties in normal categories and normal duals

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Authors: A. R. Rajan, Namitha Sara Mathew, Yu Bingjun
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The normal categories associated with unit regular semigroups and various classes of strongly unit regular semigroups were described as [math]categories with appropriate isomorphism extension properties. The normal categories associated with unit regular semigroups have been characterized as weak [math]categories. The cases of [math]strongly unit regular, [math]strongly unit regular and strongly unit regular semigroups were characterized using corresponding forms of isomorphism extensions. It is shown that when a normal category satisfies one of these isomorphism extension properties, then its normal dual satisfies a corresponding isomorphism extension property. Further, we give a description of the extension isomorphisms in the dual [math] in terms of extensions in [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500663

 Clifford semigroup actions

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Authors: Monika Paul, S. K. Maity
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we establish the orbitstabilizer theorem and the orbit decomposition theorem for a Clifford semigroup. Moreover, we establish that for a Clifford semigroup [math], any two homogeneous Clifford [math]sets [math] and [math] are Clifford [math]isomorphic if and only if for any [math], [math] is conjugate to [math]. More generally, for a Clifford semigroup [math], any two Clifford [math]sets [math] and [math] are Clifford [math]isomorphic if and only if there is a bijection [math] satisfying the property that, for all [math], [math] is Clifford [math]isomorphic to [math]. Finally, we prove that in a Clifford semigroup [math], for any element [math] such that [math] is [math]unitary full Clifford subsemigroup of [math], [math], where [math] is the conjugacy class in [math] containing the element [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500675

 A setvalued coupled coincidence point theorem with data dependence and
weak stability results
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Authors: Binayak S. Choudhury, N. Metiya, S. Kundu, D. Khatua
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we utilize an inequality involving a coupled multivalued mapping and a singlevalued mapping to obtain a coupled coincidence point theorem. We discuss special conditions under which coupled common fixed point theorems are obtained. The result combines together several ideas prevailing in fixed point theory related studies. There are several corollaries and an illustrative example. In the second part of the paper, we establish a multivalued coupled coincidence point result by putting together several ideas. A contraction through an implicit relation for the coupled mapping is assumed in the main theorem for quadruples of points determined by certain functions. The coupled mapping is also required to satisfy certain dominated conditions which are defined in this paper. In Secs. 3 and 4, we study the data dependence and stability of coupled coincidence point sets, respectively. For describing set distance we use the Hausdorff metric. The work is in the domain of setvalued analysis.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500687

 On Stieltjes type transforms over Boehmian spaces

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Authors: Emilio Negrin, Roopkumar Rajakumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We extend integral transforms of Stieltjes type to a larger space of Boehmians than that used in previous studies. Our analysis includes the Stieltjes transform, the Poisson transform (Widder’s potential transform) and the generalized Stieltjes transform.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500705

 Eigenvalue localization and Ger[math]gorin discrelated problems on
distance and distancerelated matrices of graphs
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Authors: Fouzul Atik, Priti Prasanna Mondal
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The distance, distance signless Laplacian and distance Laplacian matrix of a simple connected graph [math] are denoted by [math] and [math] respectively, where [math] is the diagonal matrix of vertex transmission. Ger[math]gorin discs for any [math] square matrix [math] are the discs [math], where [math]. The famous Ger[math]gorin disc theorem says that all the eigenvalues of a square matrix lie in the union of the Ger[math]gorin discs of that matrix. In this paper, some classes of graphs are studied for which the smallest Ger[math]gorin disc contains every distance and distance signless Laplacian eigenvalues except the spectral radius of the corresponding matrix. For all connected graphs, a lower bound and for trees, an upper bound of every distance signless Laplacian eigenvalues except the spectral radius is given in this paper. These bounds are comparatively better than the existing bounds. By applying these bounds, we find some infinite classes of graphs for which the smallest Ger[math]gorin disc contains every distance signless Laplacian eigenvalues except the spectral radius of the distance signless Laplacian matrix. For the distance Laplacian eigenvalues, we have given an upper bound and then find a condition for which the smallest Ger[math]gorin disc contains every distance Laplacian eigenvalue of the distance Laplacian matrix. These results give partial answers from some questions that are raised in [2].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500717

 Lidstone interpolation II. Two variables

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Authors: Michel Waldschmidt
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
According to Lidstone’s interpolation theory, an entire function of a single variable of exponential type [math] is determined by it derivatives of even order at [math] and [math]. In a previous paper, we gave a survey of this classical univariate theory. Here, we generalize it to two variables. Multivariate Lidstone interpolation will be the topic of a forthcoming paper.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S1793557123500729

 Quasilinearizationbased Legendre collocation method for solving a class
of functional Volterra integral equations
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Authors: Farideh Zare, Mohammad Heydari, Ghasem Barid Loghmani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, a combination of the quasilinearization and the Legendre spectral collocation methods is introduced to approximate the solution of the nonlinear functional Volterra integral equations. Throughout this process, the quasilinearization method converts the nonlinear functional Volterra integral equation to a sequence of linear integral equations. Then, in each iteration, the obtained linear integral equation is solved using the Legendre spectral collocation method. After that, a convergence analysis is discussed in detail. Finally, several numerical examples are included to demonstrate the capability and validity of the proposed method.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221019T07:00:00Z
DOI: 10.1142/S179355712350078X

 Some convergent subseries of the harmonic series

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Authors: Sudip Saha, Amit Kumar Pal, Bikash Chakraborty
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The harmonic series diverges. But, Kempner [A curious convergent series, Amer. Math Monthly 21 (1914) 48–50] proved that by removing those terms from the harmonic series whose denominators contain a digit [math] anywhere, the resulting subseries converges. Thus, Kempner allowed no 9’s at all, but in this short note, we allow 9’s with some restrictions and without tampering the convergence of the resultant series. Some results of our note generalize a recent note of Mukherjee and Sarkar [A short note on a curious convergent series, AsianEur. J. Math. 14(09) (2021) 2150158, doi:10.1142/S1793557121501588].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221011T07:00:00Z
DOI: 10.1142/S179355712350064X

 Study on matrix transformation of complex uncertain sequences via
uncertain measure
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Authors: Birojit Das, Binod Chañdra Tripathy, Carlos G̃ranados
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we initiate the concept of matrix transformation through uncertain measure of a complex uncertain sequence. We establish a necessary and sufficient condition under which an infinite matrix transforms a convergent sequence into another. As an application of this notion, we prove the wellknown Silverman–Toeplitz theorem and Kojima–Schur theorem in an uncertainty space.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221011T07:00:00Z
DOI: 10.1142/S1793557123500651

 Some identities involving generalized [math]derivations in prime and
semiprime rings
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Authors: Manami Bera, Basudeb Dhara, Sukhendu Kar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a prime or semiprime ring, [math] a nonzero leftsided ideal of [math] and [math] be two automorphisms of [math]. Let [math] and [math] be two generalized [math]derivations of [math] associated with [math]derivations [math] and [math], respectively. The purpose of this paper is to investigate the following identities: (1)[math]; (2)[math]; (3)[math]; (4)[math]; (5)[math]; (6)[math]; (7)[math]; (8)[math]; (9)[math]; (10)[math]; (11)[math]; (12)[math], for all [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221011T07:00:00Z
DOI: 10.1142/S1793557123500730

 Some properties of certain automorphism groups of finite [math]groups

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Authors: Rasoul Soleimani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a group and let [math] denote the absolute center of [math]. An automorphism [math] of [math] is called an absolute central automorphism if [math] for each [math]. An automorphism [math] of [math] is called a central automorphism if [math] for each [math]. Also, let [math] be an autonilpotent finite [math]group of class [math], where [math]. We call an automorphism [math] of [math] is an [math]th autoclasspreserving if for all [math], there exists an element [math] such that [math], where [math] is the [math]th autocommutator subgroup of [math]. In this paper, first, we characterize finite [math]group [math] of class [math] such that every central automorphism is absolute central. We also obtain a necessary and sufficient condition for an autonilpotent finite [math]group of class [math] such that each absolute central automorphism is an [math]th autoclasspreserving.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221004T07:00:00Z
DOI: 10.1142/S1793557123500535

 On the Arens regularity of Fréchet algebras and their biduals

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Authors: Z. Alimohammadi, A. Rejali
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study the concept of weakly almost periodic functions on Fréchet algebras. For a Fréchet algebra [math], we show that [math]. We also show that [math] is Arens regular if and only if both [math] and [math] are Arens regular. Finally, for a sequence of Fréchet algebras [math], we prove that the Fréchet algebra [math] is Arens regualr if and only if each [math] is Arens regular.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20221004T07:00:00Z
DOI: 10.1142/S1793557123500626

 Laplace transformtype multipliers for Kontorovich–Lebedev transform

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Authors: U. K. Mandal, Moncef Dziri, Akhilesh Prasad
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate Poison kernel associated with Kontorovich–Lebedev transform. We significantly simplify the integral yielding a tractable form which is more useful for explicit calculation. We establish also that Kontorovich–Lebedev multipliers of Laplace transform type are bounded from [math] into it self when [math] and from [math] into [math] provided that [math] is in the Muckenhoupt class [math] on [math]. At the end, an integral representation of the operator [math] is obtained and its boundedness has been discussed in Lebesgue space.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220928T07:00:00Z
DOI: 10.1142/S1793557123500602

 Direct sum of various generalizations of [math]lifting modules

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Authors: Laba K. Das, Manoj Kumar Patel, K. P. Shum
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this work, [math]lifting modules, a special extension of [math]lifting which is a further generalization of lifting modules, are studied. Here, we observed that finite direct sum of [math]lifting modules may not be [math]lifting, so we provided various sufficient conditions for which [math]lifting modules are closed under direct sum. Moreover, we have introduced and studied the properties of a new version of [math]lifting module namely, [math]lifting, [math]lifting and completely [math]lifting modules and develop some more properties of the [math]lifting modules in terms of these modules. Further, we proved that if the direct sum of arbitrary family of hollow modules is [math]lifting, then the arbitrary direct sum of [math]lifting [math]module is again [math]lifting.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220916T07:00:00Z
DOI: 10.1142/S1793557123500468

 Loxodromes on twisted surfaces in Lorentz–Minkowski 3space

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Authors: Ahmet Kazan, Mustafa Altın
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, first, we give the general formulas according to first fundamental form of a surface for different types of loxodromes, meridians and surfaces in [math]. After that, we obtain the differential equations of loxodromes on TypeI, TypeII and TypeIII twisted surfaces in [math] and also, we state a theorem which generalizes the differential equations of different types of loxodromes on the twisted surfaces for a special case. Finally, we provide several examples for visualizing our obtained results and draw our loxodromes and meridians on twisted surfaces with the aid of Mathematica.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220914T07:00:00Z
DOI: 10.1142/S1793557123500584

 On general Sombor index of graphs

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Authors: Chinglensana Phanjoubam, Sainkupar Mn Mawiong, Ardeline M. Buhphang
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we extend the recently introduced vertexdegreebased topological index, the Sombor index, and we call it general Sombor index. The general Sombor index generalizes both the forgotten index and the Sombor index. We present the bounds in terms of other important graph parameters for general Sombor index. We also explore the Nordhaus–Gaddumtype result for the general Sombor index. We present further the relations between general Sombor index and other generalized indices: general Randić index and general sumconnectivity index.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220907T07:00:00Z
DOI: 10.1142/S1793557123500523

 An introduction to dirings

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Authors: G. R. Biyogmam, J. B. Nganou, S. Tchamna
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the notion of diring as a generalization of rings and digroups. We treat basic properties of dirings and provide several examples. In addition, several notions of ring theory such as ideals and homomorphisms are considered in the newly introduced framework. Finally, we construct Leibniz algebra and quasiJordan algebra structures on noncommutative algebras by using diring operations.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220906T07:00:00Z
DOI: 10.1142/S179355712350050X

 Categories and semigroups

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Authors: Bingjun Yu, KarPing Shum
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The aim of this paper is to consider the correspondence between the classification of morphisms in categories and the classes of semigroups with idempotents, in particular, we establish a mutual corresponding theorem of three classes of categories and the classes of left (right) abundant, twosided abundant semigroups and regular semigroups. We first apply the nine axioms (P1)–(P9) which characterize cancellation and split properties of morphisms in a category to classify categories into three subclasses: idempotent ample ([math], for short) categories, balanced categories and normal categories. The intrinsic relationship between these categories and their cone semigroups is investigated. It is proved that the cone semigroup of an [math]category is left abundant and vice versa, the category of principal left ∗ideals of a left abundant (not necessarily right abundant) semigroup is an [math]category. Similar results for balanced categories and abundant semigroups are reproved and strengthened. As a consequence, we employ categorical terms to characterize those abundant semigroups in which the regular elements form a regular subsemigroup. Therefore, the significant theory of normal categories and regular semigroups devoted by K. S. S. Nambooripad is generalized to arbitrary abundant semigroups and even to left and right abundant semigroups, respectively.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220906T07:00:00Z
DOI: 10.1142/S1793557123500511

 On the signless Laplacian spectrum of the comaximal graphs

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Authors: Mojgan Afkhami, Zahra Barati, Kazem Khashyarmanesh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Assume that [math] is a commutative ring with nonzero identity. The comaximal graph of [math], denoted by [math], is a simple graph whose vertex set consists of all elements of [math], and two distinct vertices [math] and [math] are adjacent if and only if [math]. In this paper, we investigate the signless Laplacian spectrum of the comaximal graph of the ring [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220906T07:00:00Z
DOI: 10.1142/S1793557123500559

 General eccentric distance sum of graphs with given diameter

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Authors: Tomáš Vetrík
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For [math], the general eccentric distance sum of a connected graph [math] is defined as [math], where [math] is the vertex set of [math], [math] is the eccentricity of [math], [math] and [math] is the distance between vertices [math] and [math] in [math]. For [math] and [math], we present the graphs having the smallest general eccentric distance sum among graphs with given order and diameter, and among bipartite graphs with given order and odd diameter. The extremal graphs for the classical eccentric distance sum are corollaries of our results on the general eccentric distance sum.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220906T07:00:00Z
DOI: 10.1142/S1793557123500572

 On energy of matrices of a weighted graph

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Authors: MD. Abdus Sahir, SK. MD. Abu Nayeem
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The energy of a square matrix is the sum of the absolute values of deviations of its eigenvalues from their mean. In this paper, we extend the notion of the Laplacian and the signless Laplacian energy of a graph to nonnegative real symmetric matrices with zero diagonal. Such a matrix [math] can be considered as the adjacency matrix of some weighted graph. Considering the sum of the weights of edges that are incident to a vertex as the weight of the corresponding vertex, we construct the diagonal matrix [math] of which the diagonal entries are the weights of the corresponding vertices. We define a weighted version of the Laplacian matrix as [math] and that of the signless Laplacian matrix as [math]. In this work, we obtain some bounds of the energies of the weighted adjacency matrix, the weighted Laplacian matrix, and the weighted signless Laplacian matrix by studying the corresponding weighted graph. We also obtain some relations interconnecting those energies.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220831T07:00:00Z
DOI: 10.1142/S1793557123500547

 Automorphism groups of bipartite Kneser type[math] graphs

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Authors: K. G. Sreekumar, P. Ramesh Kumar, K. Manilal
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For integers [math], [math], let [math]. Let [math] be the set of all nonempty subsets of [math]. Let [math] be the set of [math]element subsets of [math], and [math]. A bipartite Kneser type[math] graph [math] is defined with parts [math] and [math], and a vertex [math] is adjacent to a vertex [math] if and only if [math] or [math]. The algebraic properties of bipartite Kneser type[math] graphs are investigated. For any integers [math], the automorphism groups of bipartite Kneser type1 graphs are isomorphic to the symmetric group [math]. The bipartite Kneser type1 graph’s Wiener index, peripheral Wiener index, and peripheral Hosoya polynomial were established. For integers [math] and [math], [math] and [math] or [math], [math], the automorphism group of [math] is isomorphic to the symmetric group [math]. For [math] is even and [math], the automorphism group of [math] is isomorphic to [math], where [math] is the cyclic group of order 2.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220827T07:00:00Z
DOI: 10.1142/S179355712350047X

 Jordan generalized left derivations in incline algebras

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Authors: Abdullah Assiry
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of generalized left derivations in incline algebras and give some basic properties, which will be helpful to extend some results of algebra to generalized left derivations in incline algebras. At the end, we prove under some certain conditions that a Jordan generalized left derivation in incline algebra [math] is a generalized left derivation in [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220824T07:00:00Z
DOI: 10.1142/S1793557122502205

 Local price uncertainty principle and timefrequency localization
operators for the [math]Hankel–Stockwell transform
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Authors: Hedi Elmonser, Kamel Brahim
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, using the [math]Jackson integral and some elements of the [math]harmonic analysis associated with the [math]Hankel transform, we introduce and study the [math]analogue of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel[math]). Furthermore, we establish a version of Heisenberg’s uncertainty principles. Last, we study the [math]Hankel–Stockwell transform on subset of finite measure.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220824T07:00:00Z
DOI: 10.1142/S1793557123500493

 The sharp estimates for certain coefficient inequalities for transforms of
a starlike function associated with Bernoulli’s lemniscate
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Authors: D. Vamshee Krishna, Ch. Vijaya Kumar, Biswajit Rath
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper contains an estimation of sharp upper bound (UB) for the Hankel determinant of specific orders concerning the [math][math]root transform [math] for a subfamily of holomorphic functions associated with the right half of Bernoulli’s lemniscate. The practical tools applied in the derivation of our main results are the coefficient inequalities of the Carath’eodory class [math]
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220822T07:00:00Z
DOI: 10.1142/S1793557123500420

 Stability analysis and optimization problem fractional of a
predator–prey system with Holling II functional response
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Authors: Abdeldjabar Bourega
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The Kolmogorov model has been applied to numerous organic and natural issues. We are especially inspired by one of its variations, that is, a Gausstype hunter prey model that incorporates the allee impact and Holling typeII utilitarian reaction. Rather than utilizing exemplary first request differential conditions to figure the model, fragmentary request differential conditions are used. The presence and uniqueness of a nonnegative arrangement just as the conditions for the presence of balance focuses are given. We then, at that point, examine the neighborhood strength of the three sorts of harmony focuses by utilizing the linearization strategy. This paper manages an ideal control issue of a hunter prey framework with a Holling II useful reaction. The model viable joins an asylum ensuring [math] of the prey and leaves ux of the prey accessible to the hunter, where [math]. By using Pontryagin’s Most extreme Standard for partial, we concentrate on the ideal control issue viewing u as a control work.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220822T07:00:00Z
DOI: 10.1142/S1793557123500481

 On left [math]essential Connesamenability of Banach algebras

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Authors: Nasrin Shariati Gazgazareh, Saber Naseri, Eghbal Ghaderi, Seyedeh Fatemeh Shariati
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce and study the notion of left [math]essential Connes amenable for dual Banach algebras. We investigate the hereditary properties of this new concept and we give some results for [math]Lau product and module extension. For unital dual Banach algebras, we show that left [math]essential Connesamenability and left [math]Connes amenability are equivalent. Finally, with various examples, we examined this concept for upper triangular matrix algebras and [math]direct sum of Banach algebras.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220812T07:00:00Z
DOI: 10.1142/S1793557123500444

 The [math]distance [math]rainbow domination numbers of graphs

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Authors: Saeed Kosari, Leila Asgharsharghi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be two positive integers. An [math]distance [math]rainbow dominating function on [math] is a function [math] that assigns to each vertex a set of colors chosen from the set [math] such that for any [math], [math] implies [math]. The weight of an [math]distance [math]rainbow dominating function [math] is the value [math] over all such functions [math]. The [math]distance [math]rainbow domination number of a graph [math], denoted by [math], equals the minimum weight of a [math]distance [math]rainbow dominating function on [math]. Note that the [math]distance [math]rainbow domination number [math] is the usual [math]rainbow domination number [math]. In this study, the [math]distance [math]rainbow domination number is defined and its properties are characterized.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220810T07:00:00Z
DOI: 10.1142/S1793557123500407

 Absolute Cesàro summability via quasipower increasing sequences

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Authors: Hi̇kmet Seyhan Özarslan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, a general theorem dealing with [math] summability of an infinite series is proved under weaker conditions by using a quasi[math]power increasing sequence instead of an almost increasing sequence.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220803T07:00:00Z
DOI: 10.1142/S1793557123500377

 On Hermite–Hadamard–Fejértype inequalities for coordinated
trigonometrically [math]convex functions
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Authors: Hasan Kara, Hüseyin Budak, Mehmet Eyüp Ki̇ri̇ş
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we first obtain Hermite–Hadamard–Fejér inequalities for coordinated trigonometrically [math]convex functions. By using these obtained inequalities, we give some inequalities involving Riemann–Liouville fractional integrals. The inequalities presented in this study provide generalizations of some results given in earlier works.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220803T07:00:00Z
DOI: 10.1142/S1793557123500432

 Existence and multiplicity of solutions to a [math]Hilfer fractional
[math]Laplacian equations
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Authors: Roozbeh Ezati, Nemat Nyamoradi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, by Symmetric Mountain Pass Lemma, we study the existence and multiplicity of solutions to the following nonlocal [math]Hilfer fractional [math]Laplasian equation: HD Tα,β;ψ( HD 0+α,β;ψξ(x) p−2HD 0+α,β;ψξ(x)) − γ(x) ξ(x) r−2ξ(x) − g(x,ξ(x)) = 0,I0+β(β−1);ψξ(0) = I Tβ(β−1);ψξ(T) = 0, where [math] and [math] are [math]Hilfer fractional derivatives leftsided and rightsided of order [math], [math], [math] and [math] and [math] are [math]Riemann–Liouville fractional integrals leftsided and rightsided, [math] and [math] are continuous functions. Finally, we give some examples to illustrate the main results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220802T07:00:00Z
DOI: 10.1142/S1793557123500456

 On maximum Zagreb indices of bipartite graphs with a given connectivity

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Authors: Hanlin Chen, Qiuzhi Guo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For a graph, the first (multiplicative) Zagreb index is equal to the sum (product) of squares of the vertex degrees, and the second (multiplicative) Zagreb index is equal to the sum (product) of products of the degrees of a pair of adjacent vertices. In this work, by a unified approach, we determine the extremal values of these Zagreb indices in terms of the (edge) connectivity and characterize the corresponding extremal graphs among all connected bipartite graphs of order [math]. Our results show that the extremal graphs of given (edge) connectivity regarding the Zagreb indices and multiplicative Zagreb indices do not completely coincide with other topological indices.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220730T07:00:00Z
DOI: 10.1142/S1793557123500389

 Sharp remainder of the Poincaré inequality for Baouendi–Grushin
vector fields
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Authors: Durvudkhan Suragan, Nurgissa Yessirkegenov
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this note, we establish a sharp remainder formula for the Poincaré inequality for the Baouendi–Grushin vector fields. We give a simple proof for it without using the variational principle. As an application, we obtain a blowup result for solutions to the Dirichlet initialboundary value problem for the Baouendi–Grushin heat operator.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220729T07:00:00Z
DOI: 10.1142/S1793557123500419

 On a generalization of condition [math]

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Authors: Zahra Jafari Maskoni, Akbar Golchin, Hossein Mohammadzadeh Saany
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Golchin and Renshaw in [A flatness property of acts over monoid, Conf. Semigroup, University of St. Andrews, 1998, pp. 72–77] introduced Condition [math] which is a generalization of Condition [math] and showed that Condition [math] implies weak flatness, but not the converse. In [A. Golchin and H. Mohammadzadeh, On homological classification of monoids by Condition [math] of right acts, Italian J. Pure Appl. Math. 25 (2009) 175–186] characterized monoids by this condition of their acts. In this paper, we first introduce Condition [math], which is a generalization of Condition [math] and then give a characterization of monoids by this condition of their (cyclic, Rees factor) acts. Also, we give a necessary and sufficient condition under which Condition [math] coincides with Condition [math] (respectively, pullback flatness, strong flatness) of acts. Furthermore, many known results are generalized.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220726T07:00:00Z
DOI: 10.1142/S1793557123500213

 On Erdös–Lax and Turántype inequalities for polynomials

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Authors: Mohammad Ibrahim Mir, Ishfaq Nazir, Irfan Ahmad Wani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper considers the wellknown Erdös–Lax and Turántype inequalities that relate the supnorm of a univariate complex coefficient polynomial and its derivative, when there is a restriction on its zeros. The obtained results produce inequalities that are sharper than the previous ones. Moreover, a numerical example is presented, showing that in some situations, the bounds obtained by our results can be considerably sharper than the ones previously known.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220726T07:00:00Z
DOI: 10.1142/S1793557123500390

 Stability analysis and numerical simulation of dynamic and fractional
SEIRD models for spread of nCOVID19 in Turkey
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Authors: B. Yildiz, E. Haspolat, A. Yilmaz, Z. Önes
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
There are various mathematical models that have been designed for forecasting the future behavior of coronavirus spreading, which helps to rapidly control the process while there is no treatment and vaccines. The main aim of this study is to describe COVID19 dynamics in Turkey by using a Susceptible–Exposed–Infected–Recovered–Deceased (SEIRD) model. For this purpose, a new SEIRD model of nCOVID19 and its fractionalorder version are designed. The basic reproduction number is calculated with the generation operator method. All possible equilibria of the dynamic model are investigated in terms of the basic reproduction number. Further, stability conditions are obtained through the Routh–Hurwitz and Lyapunov stability theories. Finally, some numerical simulations of the dynamic system and its fractional version are given based on the data from the number of nCOVID19 cases in Turkey. These results provide to implicate the theoretical findings corresponding to the model.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220721T07:00:00Z
DOI: 10.1142/S1793557122502266

 A graph associated with modules over commutative rings

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Authors: Lotf Ali Mahdavi, Parastoo Malakooti Rad
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with identity and [math] be a unitary [math]module. We associate an undirected simple graph to an [math]module [math] denoted by [math] with the vertex set [math] and two distinct vertices [math] and [math] are adjacent if and only if there exists the nonzero element [math] in [math] such that [math] or [math]. In this paper, we investigate the interplay between the graphtheoretic properties of [math] and algebraic properties of the module [math]. We study the connectivity and completeness of [math]. Also, the diameter and the girth of this graph are determined. We prove that if [math] is an [math]module with [math], then [math] has a cycle or [math], for some [math]. Also, we show that if [math] is a multiplication [math]module and [math] is a planar graph, then every prime submodule of [math] is nonfaithful.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220721T07:00:00Z
DOI: 10.1142/S1793557123500274

 When is a [math]derivation continuous and where can its image be
found'
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Authors: Amin Hosseini
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper has two main objectives. One of them is to obtain some conditions under which the image of a [math]derivation on a Banach algebra [math] is contained in the Jacobson radical of [math] and other purpose of this study is to present some results about the automatic continuity of [math]derivations in Banach algebras.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220721T07:00:00Z
DOI: 10.1142/S1793557123500316

 On closed and absolutely closed varieties of posemigroups

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Authors: Sakeena Bano, Aftab Hussain Shah, Muneer Nabi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we first show that the variety [math] of posemigroups satisfying an identity [math] is closed if it is [math]convex. Next, we show that inverse posemigroups satisfying an identity [math] are absolutely closed. We also show that a convex variety of left [right] zero posemigroups is absolutely closed and finally [math] is absolutely closed if so is [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220715T07:00:00Z
DOI: 10.1142/S1793557123500298

 On cycle graphs

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Authors: Seema Varghese, Severino V. Gervacio, Ambat Vijayakumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The Cycle Graph [math] of a graph [math] is the edge intersection graph of all induced cycles of [math]. In this paper, necessary and sufficient condition on [math] such that [math] is a connected graph, a tree, a bipartite graph is obtained. Nonexistence of forbidden subgraph characterization for cycle graphs is also discussed. It is proved that the girth of cycle graph is three. The relationship between radius of [math] and its [math] is studied. Similar results on diameter and domination number of [math] and its cycle graph are also obtained.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220715T07:00:00Z
DOI: 10.1142/S1793557123500365

 Ground state for critical elliptic systems with perturbation term of
superlinear type
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Authors: Khalid Iskafi, Abdelaziz Ahammou
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This work deals with the existence of at least one positive ground state solution for a stationary perturbed critical elliptic system with superlinear potential. Our problems involve the critical Sobolev constants which generate the lack of compactness in unbounded domains; we overcome such difficulty by using the concept of the Palais–Smale convergence. We make recourse to the Ekeland variational principle to show that our problem has a positive timeindependent solution with positive energy as the total energy of the system.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220714T07:00:00Z
DOI: 10.1142/S1793557123500304

 Moduli difference of successive inverse and logarithmic coefficients for a
class of closetoconvex functions
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Authors: Virendra Kumar, Nak Eun Cho
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Sharp bounds on the moduli difference of successive inverse and logarithmic coefficients for a class of strongly Ozaki closetoconvex functions are investigated. Relevant connections of the main results presented in this paper with existing ones are also pointed out.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220714T07:00:00Z
DOI: 10.1142/S1793557123500353

 Quasistatistical convergence in neutrosophic normed spaces for triple
sequence spaces
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Authors: Carlos Granados, Chiranjib Choudhury
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we present the notion of quasistatistical convergence of triple sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of triple sequences. We investigate a few principal properties of the newly presented notion and investigate the relationship with statistical convergence of triple sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasistatistical Cauchy sequence of triple sequences and show that quasistatistical Cauchy sequences for triple sequences are equivalent to quasistatistical convergent triple sequences in the neutrosophic normed spaces.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220713T07:00:00Z
DOI: 10.1142/S1793557123500341

 Modules with finitely many small submodules

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Authors: Avanish Kumar Chaturvedi, Nirbhay Kumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
O. A. S. Karamzadeh et al. [On rings with a unique proper essential right ideal, Fund. Math. 183 (2004) 229–244] introduced a class of modules with unique proper essential submodule, such modules are called as uemodules. A. Azarang and F. Shahrisvand [Rings with only finitely many essential right ideals, Comm. Algebra 47 (2019) 2843–2854] introduced the idea of femodule and called a module with finitely many essential submodules as a femodule. Here, we introduce and study the classes of modules dual to them. The class of modules with finitely many small submodules is defined as fsmodules and modules with a unique nonzero small submodule are defined as usmodules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220711T07:00:00Z
DOI: 10.1142/S1793557123500055

 A study on some combinatorial sets in partial semigroups

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Authors: Arpita Ghosh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate the image and preimage of the important combinatorial sets such as central sets, [math]sets, and [math]sets which play an important role in the study of combinatorics under certain partial semigroup homomorphism. Using that we prove certain results that deal with the existence of [math]set which are not central in partial semigroup framework.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220711T07:00:00Z
DOI: 10.1142/S1793557123500286

 Some properties of isoclinism in [math]Lie superalgebras

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Authors: Rudra Narayan Padhan, Nupur Nandi, Kishor Chandra Pati
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we define isoclinism of [math]Lie superalgebras of parity [math] and study some of its properties. Furthermore, we prove that notion of isoclinism and isomorphism of two finite dimensional [math]Lie superalgebras of same parity are equivalent.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220708T07:00:00Z
DOI: 10.1142/S1793557123500134

 New approach towards different bibase of ordered [math]semiring

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Authors: M. Palanikumar, K. Arulmozhi, Chiranjibe Jana, Madhumangal Pal, K. P. Shum
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The hypothesis of an ordered [math]semiring provides a characterization of semiring and ordered semiring in this paper. We have attempted to investigate the Type1 biideal, Type2 biideal, Type1 bibase and Type2 bibase over ordered [math]semiring in detail. Some of their characterizations are obtained through Type1 bibase and Type2 bibase. Let [math] be a Type1 (Type2) bibase of ordered [math]semiring and [math] such that [math] but not [math], nor [math] ([math], nor [math]). We introduce the notions of onequasi order and twoquasi order on an ordered [math]semiring to interact with Type1 and Type2 bibases generated by element and subset. With the help of some examples, we have shown that Type1 bibase and Type2 bibase have partial order.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220708T07:00:00Z
DOI: 10.1142/S1793557123500195

 On construction of certain Fischer embedded subgroups generated by
3transpositions in [math]
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Authors: Mashhour BaniAta
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate the Fischer group [math]. This group is generated by a conjugacy class of involutions, any noncommuting pair of which has product of order 3. Such involutions are called transpositions and their conjugacy class is denoted by [math]. Subgroups generated by elements of [math] are called [math]groups as they have been called by Enright [G. M. Enright, The structure and subgroups of the Fischer groups [math] and [math], Ph.D. thesis, University of Cambridge (1976)], Fischer embedded or 3transposition groups. Here, we obtain the following main results: The rank of the groups [math], the Weyl group [math] of type [math] over fields of characteristic 2, the group [math] of shape [math] and the group [math] are computed. If [math] is a 3transposition group (Fischer embedded) for a class [math] of transpositions, then [math] is defined as [math]. We prove that the subgroups [math] and [math] are Fischer embedded and we give an explicit construction for them. It is remarkable to mention that Enright studied certain [math]groups under a very strong condition that is [math] and [math] where [math] is the group generated by a proper subset [math] of [math], [math] is the derived subgroup of [math] and [math] is a single conjugacy class in [math]. Our study will be carried out without such conditions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220708T07:00:00Z
DOI: 10.1142/S1793557123500201

 Cyclotomy, cyclotomic cosets and arithmetic properties of some families in
[math]
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Authors: Kapil Kumar, Sudhir Batra
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Arithmetic properties of some families in [math] and hence in [math] are obtained by using the cyclotomic classes of order 2 with respect to [math], where [math] is primitive root modulo [math], [math] and [math]. The form of these cyclotomic classes enables us to generalize the results obtained in [S. Jain and S. Batra, Cyclotomy and arithmetic properties of some families in [math], AsianEur. J. Math. 13(4) (2020) 2050077].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220708T07:00:00Z
DOI: 10.1142/S1793557123500237

 Fourthorder moment bounding the eigenvalues of a matrix

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Authors: Madhu Gupta, S. R. Sharma
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We derive some known and new bounds for fourthorder moment of a discrete data over the interval [math]. These results are extended to lower bounds of the spread of a matrix and bounds for the largest and smallest eigenvalues of a square matrix with nonnegative spectrum.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220704T07:00:00Z
DOI: 10.1142/S179355712350033X

 On multivalued version of Miteration process

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Authors: Kifayat Ullah, Junaid Ahmad, Abdul Rahim Khan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We give a multivalued version of M iterative process [K. Ullah and M. Arshad, Numerical reckoning fixed points Suzuki’s generalized nonexpansive mappings via new iteration process, Filomat 32 (2018) 187–196] in the setting of Banach spaces. After this, we prove some weak and strong convergence results for the class of multivalued quasinonexpansive mappings (which contains the class of multivalued nonexpansive mappings) with proper numerical examples using multivalued version of Miteration process. These results generalize several wellknown comparable results in the literature.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220628T07:00:00Z
DOI: 10.1142/S1793557123500171

 [math]operators of ternary Jordan algebras and ternary Jordan
Yang–Baxter equations
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Authors: Taoufik Chtioui, Atef Hajjaji, Sami Mabrouk
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study the representation of ternary Jordan algebras which allows us to introduce the notion of coherent ternary Jordan algebras. Then the [math]operators of ternary Jordan algebras are introduced and the solutions of ternary Jordan Yang–Baxter equation are discussed involving [math]operators. Moreover, ternary preJordan algebras are studied as the algebraic structure behind the [math]operators. Finally, the relations among ternary Jordan algebras and ternary preJordan algebras are established and illustrated by examples.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220628T07:00:00Z
DOI: 10.1142/S1793557123500262

 On the distance compatibility in product of signed graphs

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Authors: T. V. Shijin, P. Soorya, K. Shahul Hameed, K. A. Germina
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A signed graph [math] is an ordered pair [math] where [math] is the underlying graph of [math] with a signature function [math]. Notions of signed distance and distancecompatible signed graphs were introduced recently. We characterize distance compatibility in the case of a connected signed graph. Also, we provide characterizations for distance compatibility in the case of the Cartesian product, two lexicographic products and the tensor product of signed graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220627T07:00:00Z
DOI: 10.1142/S1793557123500158

 Transfer learning with NASNetMobile for Pneumonia Xray classification

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Authors: Irina Naskinova
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Pneumonia affects 7% of the population worldwide and results in about four million deaths worldwide. The mortality caused by pneumonia can be prevented, as the treatment is lowtech and lowcost, yet it often goes unrecognized. The chest Xray is the most reliable diagnostic imaging technique for pneumonia. Yet, often it is not used for lack of trained diagnosticians. However, this can be overcome with deep learning computeraided diagnostic technology, which is shown in this study as well is in previous research to be able to achieve high performance in detecting and classifying between healthy and pneumonia radio graph images. This study presents a comparison between a transfer learning model based on NASNetMobile and a custom custom convolutional neural network (CNN) topology. Transfer learning has enhanced the model performance with an average of 5% for accuracy and lowered the loss with 15%. The experiments point to the fact that with finetuning, transfer learning can greatly improve custom CNN models. These results are significant as building transfer learning models based on simpler models can be faster and cheaper to industrialize and can be a viable option for providing the needed computeraided diagnostic support system for pneumonia detection in chest radio graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S1793557122502400

 On Morita equivalent of indecomposable automorphisminvariant rings

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Authors: Dao Thi Trang
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we give some results of indecomposable rings in which finitely generated right ideals are automorphisminvariant. They are called [math]rings. It shows that any indecomposable right artinian right Rickart right [math]ring [math] is Morita equivalent to a formal upper triangular matrix ring. Moreover, we also study endomorphism rings of automorphisminvariant modules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S1793557123500146

 Spectra of [math]bicone product of graphs

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Authors: R. Pavithra, R. Rajkumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a graph product, namely, [math]bicone product and determine the generalized characteristic polynomial of the graphs obtained from this product. Consequently, we obtain the characteristic polynomial of the adjacency matrix, the Laplacian matrix and the signless Laplacian matrix of this graph. Also, from these results, we obtain the [math]spectra of some families of bicone product of graphs. As an application, we obtain infinite pairs of [math]cospectral graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S179355712350016X

 Results and conjectures related to a conjecture of Erdős concerning
primitive sequences
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Authors: Bakir Farhi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A strictly increasing sequence, finite or infinite, [math] of positive integers is said to be primitive if no term of [math] divides any other. Erdős showed that the series [math], where [math] is a primitive sequence different from the finite sequence [math], are all convergent and their sums are bounded above by an absolute constant. Besides, he conjectured that the upper bound of the preceding sums is reached when [math] is the sequence of the prime numbers. The purpose of this paper is to study the Erdős conjecture. In the first part of the paper, we give two significant conjectures which are equivalent to that of Erdős and in the second one, we study the series of the form [math], where [math] is a fixed nonnegative real number and [math] is a primitive sequence different from the finite sequence [math]. In particular, we prove that the analog of Erdős’s conjecture for these series does not hold, at least for [math]. At the end of the paper, we propose a more general conjecture than that of Erdős, which concerns the preceding series, and we conclude by raising some open questions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S1793557123500183

 On equivariant Lie–Yamaguti algebras and related structures

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Authors: Shuangjian Guo, Bibhash Mondal, Ripan Saha
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we first discuss cohomology and a oneparameter formal deformation theory of Lie–Yamaguti algebras. Next, we study finite group actions on Lie–Yamaguti algebras and introduce equivariant cohomology for Lie–Yamaguti algebras equipped with group actions. Finally, we study an equivariant oneparameter formal deformation theory and show that our equivariant cohomology is the suitable deformation cohomology.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S1793557123500225

 A note on Höldertype inequality

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Authors: René Erlin Castillo, Josip Pec̆arić
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, a Höldertype inequality due to L. C. Young is considered. Improvement and generalizations of this inequality are given.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220624T07:00:00Z
DOI: 10.1142/S1793557123500249

 Improved inequalities for the numerical radius

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Authors: Badria Timroi, Mohsen Erfanian Omidvar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
New numerical radius inequalities for Hilbert space operators are given. We give an improvement of the inequality presented by Kittaneh for numerical radius, in fact we show that if [math] then ω(A) ≤ 1 2∥∣A∣ + ∣A∗∣∥−1 2inf∥x∥ = 1ϕ(x), where ϕ(x) =inf{(〈 A x,x〉1 2 −〈 A∗ x,x〉1 2)2 : ∥x∥ = 1}. A refinement of the triangle inequality is also shown.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220620T07:00:00Z
DOI: 10.1142/S1793557123500080

 Solvability of infinite system of nonlinear convolution type integral
equations in the tempered sequence space [math]
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Authors: Hamid Mehravaran, Hojjatollah Amiri Kayvanloo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we first introduce the concept of tempered sequence space [math]. Then, we construct a Hausdorff measure of noncompactness on this sequence space. Furthermore, by employing this measure of noncompactness we discuss the existence of solutions for an infinite system of nonlinear convolution differential equations in the tempered sequence space [math]. Eventually, we demonstrate an example to show the effectiveness and usefulness of the obtained result.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220614T07:00:00Z
DOI: 10.1142/S1793557123500043

 Some remarks on the comparability of ideals in semirings

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Authors: H. Behzadipour, P. Nasehpour
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A semiring is uniserial if its ideals are totally ordered by inclusion. First, we show that a semiring [math] is uniserial if and only if the matrix semiring [math] is uniserial. As a generalization of valuation semirings, we also investigate those semirings whose prime ideals are linearly ordered by inclusion. For example, we prove that the prime ideals of a commutative semiring [math] are linearly ordered if and only if for each [math], there is a positive integer [math] such that either [math] or [math]. Then, we introduce and characterize pseudovaluation semidomains. It is shown that prime ideals of pseudovaluation semidomains and also of the divided ones are linearly ordered.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220614T07:00:00Z
DOI: 10.1142/S1793557123500067

 On meromorphic functions with fixed second coefficient

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Authors: M. Amani, R. Aghalary, A. Ebadian
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We use the theory of firstorder differential subordination for meromorphic functions with fixed second coefficient to reform and improve some wellknown results of this class of functions. Also, some applications in integral operators and sufficient condition for starlikeness of meromorphic functions with fixed second coefficient are investigated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220611T07:00:00Z
DOI: 10.1142/S1793557123500092

 Fixed point theorems of contraction mappings with variations in cone
metric space domains
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Authors: G. Siva
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Fixed point iterations of some contraction mappings with variations in cone metric space (CMS) domains have been discussed in this paper. More specifically, an increasing sequence of subsets of an order complete CMSs has been considered such that one member of the sequence is mapped into the next member of the sequence by a map for which a contraction condition is satisfied. The usual iteration method has been considered to establish generalized fixed point results in CMSs. Furthermore, some examples are provided to illustrate our main results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220611T07:00:00Z
DOI: 10.1142/S1793557123500109

 Complete classification of negacyclic codes of length [math] over [math]

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Authors: Brahim Boudine, Jamal Laaouine, Mohammed Elhassani Charkani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we classify completely the negacyclic codes of length [math] over [math] when [math] by using sixcyclotomic codes.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220611T07:00:00Z
DOI: 10.1142/S1793557123500110

 Maximum and minimum Sombor index among [math]apex unicyclic graphs and
[math]apex trees
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Authors: Jing Yang, Hanyuan Deng
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The Sombor index [math] of a graph [math] is defined as SO(G) =∑uv∈E(G)dG (u)2 + dG (v)2, where [math] is the degree of the vertex [math] of [math]. A [math]cone [math]cyclic graph is the join of the complete graph [math] and a connected [math]cyclic graph. A [math]apex tree (respectively, [math]apex unicyclic graph) is defined as a connected graph [math] with a [math]subset [math] such that [math] is a tree (respectively, unicyclic graph), but [math] is not a tree (respectively, unicyclic graph) for any [math] with [math]. In this paper, we show the minimal graphs of [math] among all [math]cone [math]cyclic graphs with [math] as their degree sequence, and determine the extremal values and extremal graphs of [math] among [math]apex unicyclic graphs and [math]apex trees, respectively.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220611T07:00:00Z
DOI: 10.1142/S1793557123500122

 Pair of generalized derivations on Lie ideals in prime rings

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Authors: Ashutosh Pandey
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a prime ring of characteristic not equal to [math], [math] be the Utumi quotient ring of [math] and [math] be the extended centroid of [math]. Let [math] and [math] be two generalized derivations on [math] and [math] be a noncentral Lie ideal of [math]. If [math], for all [math], then one of the following holds: (1)[math]. (2)there exists [math] such that [math], and [math] for all [math]. (3)[math] satisfies the standard identity [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220608T07:00:00Z
DOI: 10.1142/S179355712350002X

 NonArchimedean approximation of the [math]Apollonius type functional
equation
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Authors: Anoshirvan Ghaffaripour
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Throughout this paper, using the fixed point and direct methods, the generalized Hyers–Ulam stability of the following [math]Appolonius type functional equation ∑i=1mf(z − x i) = mf z − 1 m2∑i=1mx i − 1 m∑1≤i
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220604T07:00:00Z
DOI: 10.1142/S1793557123500018

 Exact solutions of nonlinear dynamics of microtubules equation using the
methods of first integral and [math] expansion
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Authors: Mahima Poonia, K. Singh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, microtubules nonlinear dynamics has been investigated through two different approaches — the first integral method and the [math] expansion method — with an objective of deriving traveling wave solutions to the considered model governed by nonlinear partial differential equation by first reducing it to nonlinear ordinary differential equation. The classes of solutions, furnished by these two methods, form a completely new contribution. In some cases, we also demonstrate that various solutions reported earlier in literature can also be recovered as special cases from the solutions constructed in this study.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220604T07:00:00Z
DOI: 10.1142/S1793557123500079

 On some module amenabilitylike properties of Banach algebras with
applications
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Authors: A. Sahami, S. F. Shariati, F. Khosravi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a new notion of module strong pseudoamenability for Banach algebras. We study the relation between this new concept to other various notions at this issue, module pseudocontractibility, module pseudoamenability and module approximate amenability. For an inverse semigroup [math] with the set of all idempotents [math], we show that [math] is module strong pseudoamenable as an [math]module if and only if [math] is amenable. For specific types of semigroups such as Brandt semigroups and bicyclic semigroups, we investigate the module strong pseudoamenability of [math]. We show that for every nonempty set [math], [math] under this new notion is forced to have a finite index as an [math]module, where [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220531T07:00:00Z
DOI: 10.1142/S1793557123500031

 Uniqueness theorem of meromorphic function concerning small functions on
annuli
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Authors: Ha Huong Giang
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we will prove a uniqueness theorem in the case of meromorphic functions on the annuli share [math] distinct elements with different multiple values.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220528T07:00:00Z
DOI: 10.1142/S1793557122502278

 On [math]algebras

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Authors: Joemar C. Endam, Alice A. Mamhot
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A Balgebra is an algebra [math] of type (2, 0) satisfying: (I) [math], (II) [math], (III) [math]. A B[math]algebra is an algebra [math] such that [math] is a Balgebra and [math] is a poset with [math] compatible on [math]. In this paper, we introduce and characterize lattice ordered Balgebras (or B[math]algebras). A B[math]algebra is a B[math]algebra which is a lattice under its partial order. We show that a B[math]algebra is both distributive and torsionfree.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220528T07:00:00Z
DOI: 10.1142/S1793557122502345

 Finite groups with given properties of basic subgroups of fans of Sylow
subgroups
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Authors: Tatsiana I. Vasilyeva
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a hereditary saturated formation such that [math] ([math] denotes the class of all Sylow tower groups of type [math]). In this paper, the concept of a fan of a subgroup of a group [math], introduced in 1979 by Borevich, is used to prove that [math] belongs to [math]. We proved that a finite group [math] if and only if [math] and every basic subgroup of the fan of every Sylow subgroup in [math] is [math]subnormal. We have also obtained that the group [math] lies in [math] if and only if all the basic subgroups of the fans of all Sylow subgroups in [math] lie in [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220528T07:00:00Z
DOI: 10.1142/S1793557122502357

 Power graph of a finite group is always divisor graph

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Authors: Neeraj Takshak, Amit Sehgal, Archana Malik
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The power graph is a special type undirected simple graph of a finite group G which has the group elements as its vertex set and two distinct vertices [math] are adjacent if one is nonnegative integral power of other. Vertex labeling of graph [math] is a process of assigning integers to all its vertices subject to certain conditions. In simple words, vertex (edge) labeling is a function of all vertices (edges) to set of labels. Frequently, integers are used in labeling of vertices and edges. A graph [math] is said to be divisor graph if all vertices of graph can be labeled with positive integers such that any two distinct vertices [math] are adjacent if and only if either [math] or [math]. In this research paper, we prove that every power graph of finite group is always a divisor graph, but converse is not true.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220521T07:00:00Z
DOI: 10.1142/S1793557122502369

 Binomial transform of the generalized thirdorder Jacobsthal sequence

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Authors: Yüksel Soykan, Erkan Taşdemir, Melih Göcen
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this study, we establish the binomial transform of the generalized thirdorder Jacobsthal sequence. We also describe the binomial transform of four special cases of thirdorder Jacobsthal sequence such as the binomial transform of the thirdorder Jacobsthal, thirdorder Jacobsthal–Lucas, modified thirdorder Jacobsthal–Lucas, thirdorder Jacobsthal–Perrin sequences. Moreover, we examine their features in more detail.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220518T07:00:00Z
DOI: 10.1142/S1793557122502242

 Numerical solution of nonlinear integral equation arising in optometry

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Authors: R. Katani, S. Majidifar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, a mathematical model of the eye corneal shape is introduced which is a nonlinear boundary value problem. This boundary value problem is converted to a nonlinear integral equation and by means of the collocation method, the problem is reduced into a system of the nonlinear algebraic equations. The approximate solutions are obtained by solving this nonlinear system and numerical results are provided to show that introduced method is efficient. Also, comparisons with other works are made to confirm the reliability of the method.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220507T07:00:00Z
DOI: 10.1142/S179355712250228X

 Left rays of groupoids

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Authors: A. Rezaei, H. S. Kim, J. Neggers, A. Borumand Saeid
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce and study the notion of a [math]positive implicative[math] left ray in groupoids, and we show that every normal subgroup of a group is a left ray of a group, and in every finite group, left rays are normal subgroups. Further, left absorptive subsets of groupoids are discussed and several examples for these definitions provided. The relationship between left rays and zero semigroups is discussed.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220507T07:00:00Z
DOI: 10.1142/S1793557122502333

 On some properties of hyperideals in ternary hypersemirings

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Authors: Manasi Mandal, Nita Tamang, Sampad Das
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the notion of prime hyperideals and maximal hyperideals in ternary hypersemirings and we study some of their properties. We construct a ternary semiring [math], corresponding to a strongly distributive ternary hypersemiring [math] and obtain various results among them. We also establish an inclusion preserving bijection between the set of all prime hyperideals of [math] and collection of all prime total kideals of [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220504T07:00:00Z
DOI: 10.1142/S1793557122502308

 On weak [math]coherent rings

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Authors: Haitham El Alaoui, Hakima Mouanis
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a generalization of the wellknown notion of weak coherent rings, which we call weak [math]coherent rings. We investigate the stability of this property under direct products and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions and amalgamated algebras along an ideal. We conclude with various examples of weak [math]coherent rings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220504T07:00:00Z
DOI: 10.1142/S179355712250231X

 Integration in semirings

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Authors: Ivan Chajda, Helmut Länger
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The concept of integral as an inverse to a derivation was already introduced for rings and recently also for lattices. Since semirings generalize both rings and bounded distributive lattices, it is natural to investigate integration in semirings. This is our aim in the present paper. We show properties of such integrals from the point of view of semiring operations. Examples of semirings with derivation where integrals are introduced are presented in the paper. These illuminate rather specific properties of such integrals. We show when the set of all integrals on a given semiring forms a semiring again.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220430T07:00:00Z
DOI: 10.1142/S1793557122502229

 Chentype inequality for sequential warped product submanifolds of nearly
Kähler manifolds
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Authors: Anuj Kumar, Anil Sharma
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A generalized Chentype inequality and corresponding equality consequences for sequential warped products are proved in this paper. These results, which are based on such warped products having factors holomorphic, totally real and pointwise slant, extend Chentype inequality for various warped products on nearly Kähler manifolds. Moreover, we also examine the related special cases.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220430T07:00:00Z
DOI: 10.1142/S1793557122502230

 A new family of Gauss [math]Horadam numbers

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Authors: Merve Taştan, Nazmiye Yılmaz, Engin Özkan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We present a new family of Gauss [math]Horadam numbers and obtain Binet formula of this family. We give the relationship between this family and the known Gauss [math]Horadam number. Then we prove the Cassini and Catalan identities for this family. Furthermore, we investigate the sums, the recurrence relations and generating functions of this family.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793557122502254

 A common fixed point theorem for new type compatible maps on modular
metric spaces
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Authors: Elif Kaplan, Servet Kutukcu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we discuss a new definition of [math]compatible maps in a modular metric space, prove a common fixed point theorem and utilize them to get a solution of a Volterra type integral equation.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793557122502291

 Bounds for the order of the Schur multiplier of a pair of groups

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Authors: Elaheh Khamseh, Homayoon Arabyani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a pair of groups, in which [math] is a normal subgroup of [math] and [math] is a free presentation of [math]. Suppose that [math] admits a complement in [math], Ellis defined the notion of the Schur multiplier of the pair [math] as [math], where [math] is a normal subgroup in a free group [math] such that [math]. In this paper, we give some inequalities for the order of the Schur multiplier of a pair of groups.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220429T07:00:00Z
DOI: 10.1142/S1793557122502321

 Restrained [math]rainbow reinforcement number in graphs

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Authors: N. Ebrahimi, J. Amjadi, M. Chellali, S. M. Sheikholeslami
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a positive integer. A restrained [math]rainbow dominating function (RkRDfunction) of a graph [math] is a function [math] from the vertex set [math] to the set of all subsets of the set [math] satisfying: (i) for any vertex [math] with [math] the condition [math] is fulfilled, where [math] is the set of all vertices adjacent to [math] (ii) the subgraph induced by the vertices assigned [math] under [math] has no isolated vertices. The weight of an RkRDfunction [math] is the value [math], and the restrained [math]rainbow domination number of [math], denoted by [math], is the minimum weight of an RkRDfunction of [math]. In this paper, we continue the study of the restrained [math]rainbow reinforcement number [math] of a graph [math] defined as the cardinality of a smallest set of edges that we must add to [math] to decrease [math] We shall first show that the decision problem associated with [math] is NPhard for arbitrary graphs. Then several properties as well as some sharp bounds of the restrained [math]rainbow reinforcement number are investigated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220418T07:00:00Z
DOI: 10.1142/S1793557122502217

 Twowavelet theory and twowavelet localization operators on the
[math]Dunkl harmonic analysis
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Authors: Othman Tyr, Radouan Daher
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, using the [math]Dunkl harmonic analysis introduced in Bettaibi and Bettaieb [qAnalog of the Dunkl transform on the real line, Tamsui Oxf. J. Math. Sci. 25(2) (2007) 117–205] and motivated by Wong’s approach [M. W. Wong, Wavelet Transforms and Localization Operators, Vol. 136 (Springer Science & Business Media, Berlin, 2002)], we first define and study the [math]wavelets, the continuous [math]wavelet transforms. Next, we introduce the twowavelet localization operators, the Schatten–von Neumann properties of these localization operators are established, and for trace class localization operators, the traces and the trace class norm inequalities are presented.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220412T07:00:00Z
DOI: 10.1142/S1793557122502163

 Subspacebased nonzero component graph of a finite dimensional vector
space
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Authors: S. Pirzada, Bilal A. Wani, Saba AlKaseasbeh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a vector space over a field [math] with basis [math]. Let [math] be an [math]dimensional subspace of [math] with basis [math], where [math] is some [math]. We introduce the subspacebased nonzero component graph, denoted by [math], of the finite dimensional vector space [math] with respect to [math] and [math] as follows: [math] and for [math], there is an edge between [math] and [math] if and only if either [math] or [math], where [math], [math] and [math]. We investigate the connectivity, diameter and completeness of [math]. Further, we find its domination number and independence number. If [math] is a subspace of a vector space, we show that the graph is complete if and only if [math] is a hyperspace. Finally, we determine the degree of each vertex in case the base field is finite.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220407T07:00:00Z
DOI: 10.1142/S179355712250214X

 On the [math] spectrum of the zerodivisor graphs

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Authors: Zahra Barati, Mojgan Afkhami, Kazem Khashyarmanesh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with nonzero identity and [math] be the set of all nonzero zerodivisors of [math]. The zerodivisor graph of [math], denoted by [math], is a simple graph whose vertex set consists of all elements of [math], and two distinct vertices [math] and [math] are adjacent if and only if [math]. In this paper, we investigate the [math]spectral of the zerodivisor graph of the ring [math]. Specially, we study the [math]spectral of the zerodivisor graph of the ring [math] for [math], [math], [math], where [math], [math] and [math] are distinct prime numbers and [math]. Moreover, we study the [math]spectral of the zerodivisor graph of the ring [math], where [math] is a prime number and [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220407T07:00:00Z
DOI: 10.1142/S1793557122502151

 Generalized integral Niezgoda’s inequalities

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Authors: M. Maqsood Ali, Asif R. Khan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we give generalizations followed by refinements of the integral version of Niezgoda’s inequality in several different ways by using weights, functions with nondecreasing increments and isotonic linear functionals.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220407T07:00:00Z
DOI: 10.1142/S1793557122502175

 Some new results for [math]quasiisometries

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Authors: Zied Garbouj
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The purpose of this paper is to present new additive results for [math]quasiisometries operators on Hilbert spaces. Precisely, we focus on the study of the descent of a [math]quasiisometry operator. Some spectral properties for this class of operators and decomposition theorems are also given. Part of the results proved in this paper improve and generalize some results known for isometries and quasiisometries.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220330T07:00:00Z
DOI: 10.1142/S1793557122502138

 One note on positive [math]computable numberings

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Authors: Marat Faizrahmanov
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A family of finite sets is said to be strongly coverable if it has a subfamily with the computable set of canonical indices, such that every set of the coverable family is a subset of some set of the covering subfamily. We prove that a set [math] is low if and only if every finite strongly coverable [math]computable family has a positive [math]computable numbering. We also show that in the previous criterion the strong coverability of a finite family cannot be skipped.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220330T07:00:00Z
DOI: 10.1142/S1793557122502187

 Transitivity and sensitivity of semigroup actions on uniform spaces

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Authors: V. Renukadevi, S. Tamilselvi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate several forms of transitivity and sensitivity in the dynamical system of semigroup actions. Firstly, we derive some equivalent conditions for a dynamical system to be sensitive. In particular, it is proved that an Msystem with an equicontinuous point is minimal as well as equicontinuous, every syndetically transitive system with equicontinuous point is minimal as well as equicontinuous. Also, we derive equivalent conditions for a system to be almost equicontinuous in terms of sensitivity and equicontinuity. Besides, some results on point transitive and densely point transitive system on uniform spaces are obtained.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220318T07:00:00Z
DOI: 10.1142/S1793557122502096

 Squarefree and squarefull part of an integer

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Authors: Teerapat Srichan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Any positive integer [math] can be written uniquely as [math] where [math] is squarefull, [math] is squarefree and [math] We denote the squarefull part and the squarefree part of [math] by [math] and [math] respectively. In this paper, we use an elementary method to study the distribution of squarefree and squarefull part of an integer. Moreover, we also study the distribution of primitive roots modulo a prime [math] that are squarefull number.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220318T07:00:00Z
DOI: 10.1142/S1793557122502114

 On regularities of ordered semigroups

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Authors: Nuchanat Tiprachot, Nareupanat Lekkoksung, Bundit Pibaljommee
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In ordered semigroups, the notion of [math]ideals is a generalized concept of [math]ideals, where [math]. We apply the notion of [math]ideals to characterize all regularities in ordered semigroups.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220312T08:00:00Z
DOI: 10.1142/S1793557122502072

 Some convergence results using [math] iteration process in Banach Spaces

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Authors: Kifayat Ullah, Junaid Ahmad
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we establish several strong and weak convergence results for a class of mappings which is essentially wider than the class of Suzuki mappings using [math] iteration process in the context of uniformly convex Banach spaces. We also provide an example for support of our results. The obtained results are the extension and improvement of some recent results in the fixed point approximations theory.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220312T08:00:00Z
DOI: 10.1142/S1793557122502102

 Vandermonde determinant for a certain Sakaguchi type function in
Limaçon domain
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Authors: S. P. Vijayalakshmi, Serap Bulut, T. V. Sudharsan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we define the [math]th Vandermonde determinant and determine the coefficient bounds for the second and thirdorder Vandermonde determinant for a Sakaguchi type function [math] and [math] which map open unit disc onto the region bounded by Limaçon [(u − 1)2] + v2 − s4]2 = 4s2[(u − 1 + s2)2 + v2] 0 < s ≤ 1 2 . Sharp upper bounds are obtained for secondorder Vandermonde determinant.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20220312T08:00:00Z
DOI: 10.1142/S1793557122502126
