Asian-European Journal of Mathematics
Journal Prestige (SJR): 0.168 Number of Followers: 2 Hybrid journal (It can contain Open Access articles) ISSN (Print) 1793-5571 - ISSN (Online) 1793-7183 Published by World Scientific [118 journals] |
- A note on two-variable Lommel matrix functions
- Authors: Ayman Shehata
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
The aim of the present work is to develop a pair of Lommel matrix functions of two variables suggested by the Bessel matrix functions and some of their properties are studied to be special cases of our results.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:01:25Z
DOI: 10.1142/S1793557118500419
- Authors: Ayman Shehata
- A reductive case on derivations in Vinberg [math] rings
- Authors: G. Lakshmi Devi, K. Jayalakshmi
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, we describe the reductive pair [math] with fixed decomposition [math] and construct a reductive Vinberg [math] ring relative to [math] which is based on the construction of nonassociative algebras with specified simple Lie algebra [math] of derivations. As a special case, we construct a class of Vinberg [math] algebras ([math], [math] of dimension 8 with [math] [math] and determine its associated reductive Lie algebra [math] [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:01:20Z
DOI: 10.1142/S1793557118500377
- Authors: G. Lakshmi Devi, K. Jayalakshmi
- On analogues of Baer’s theorems for widely supersoluble hypercenter
of finite groups- Authors: Viachaslau I. Murashka
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, the widely supersoluble hypercenter of finite groups was studied and a new criterion of widely supersolubility of finite groups was obtained.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:01:14Z
DOI: 10.1142/S1793557118500432
- Authors: Viachaslau I. Murashka
- On the matrices with the generalized hyperharmonic numbers of order [math]
- Authors: Neşe Ömür, Sibel Koparal
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, we define two [math] matrices [math] and [math] with [math] and [math] respectively, where [math] are a generalized hyperharmonic numbers of order [math]. We give some new factorizations and determinants of the matrices [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:01:08Z
DOI: 10.1142/S1793557118500456
- Authors: Neşe Ömür, Sibel Koparal
- Counter examples to a conjecture concerning harmonic index
- Authors: Akbar Ali
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
A recently proposed conjecture by Cheng and Wang [A lower bound for the harmonic index of a graph with minimum degree at least three, Filomat 30(8) (2016) 2249–2260] about the harmonic index is disproved.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:01:03Z
DOI: 10.1142/S1793557118500353
- Authors: Akbar Ali
- Modular group algebras of Lie nilpotency index [math]
- Authors: Meena Sahai, Bhagwat Sharan
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
For a group algebra [math] of a group [math] over a field [math] of characteristic [math], it is well known that [math] is the minimal upper as well as the minimal lower Lie nilpotency index. Group algebras of upper Lie nilpotency index upto [math] have already been characterized completely. In this paper, we classify the modular group algebra [math] having upper Lie nilpotency index [math] which is the possible next higher Lie nilpotency index.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:52Z
DOI: 10.1142/S1793557118500390
- Authors: Meena Sahai, Bhagwat Sharan
- Symmetry analysis and some new exact solutions of some nonlinear KdV-like
equations- Authors: A. H. Abdel Kader, M. S. Abdel Latif, F. El Bialy, A. Elsaid
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, we obtained some new exact solutions of some nonlinear KdV-like equations using Lie point symmetry and [math]-symmetry methods. The obtained solutions are in the form of doubly periodic, bright and dark soliton solutions.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:46Z
DOI: 10.1142/S1793557118500407
- Authors: A. H. Abdel Kader, M. S. Abdel Latif, F. El Bialy, A. Elsaid
- Functional equations with division and regular operations
- Authors: Sergey Davidov, Aleksandar Krapež, Yuri Movsisyan
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
Functional equations are equations in which the unknown (or unknowns) are functions. We consider equations of generalized associativity, mediality (bisymmetry, entropy), paramediality, transitivity as well as the generalized Kolmogoroff equation. Their usefulness was proved in applications both in mathematics and in other disciplines, particularly in economics and social sciences (see J. Aczél, On mean values, Bull. Amer. Math. Soc. 54 (1948) 392–400; J. Aczél, Remarques algebriques sur la solution donner par M. Frechet a l’equation de Kolmogoroff, Pupl. Math. Debrecen 4 (1955) 33–42; J. Aczél, A Short Course on Functional Equations Based Upon Recent Applications to the Social and Behavioral Sciences, Theory and decision library, Series B: Mathematical and statistical methods (D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1987); J. Aczél, Lectures on Functional Equations and Their Applications (Supplemented by the author, ed. H. Oser) (Dover Publications, Mineola, New York, 2006); J. Aczél, V. D. Belousov and M. Hosszu, Generalized associativity and bisymmetry on quasigroups, Acta Math. Acad. Sci. Hungar. 11 (1960) 127–136; J. Aczél and J. Dhombres, Functional Equations in Several Variables (Cambridge University Press, New York, 1991); J. Aczél and T. L. Saaty, Procedures for synthesizing ratio judgements, J. Math. Psych. 27(1) (1983) 93–102). We use unifying approach to solve these equations for division and regular operations generalizing the classical quasigroup case.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:39Z
DOI: 10.1142/S179355711850033X
- Authors: Sergey Davidov, Aleksandar Krapež, Yuri Movsisyan
- On generalizations of certain nonlinear integral inequalities and their
applications- Authors: S. G. Latpate
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
The aim of this paper is to generalize some integral inequalities of Gronwall–Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett. 23 (2015) 470–475] and also establish some new forms.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:34Z
DOI: 10.1142/S1793557118500328
- Authors: S. G. Latpate
- Complex symmetric operators and semiclassical resonances
- Authors: Bekkai Messirdi, Sofiane Messirdi, Miloud Messirdi
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
Unbounded complex symmetric operators on Hilbert space are discussed and various spectral results on these operators are presented in this paper. In addition, we show that the technique of complex scaling allows one to identify the quantum resonances of complex self-adjoint Schrödinger Hamiltonians.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:29Z
DOI: 10.1142/S1793557118500444
- Authors: Bekkai Messirdi, Sofiane Messirdi, Miloud Messirdi
- Controllability and observability of LTV systems -bond graph approach-
- Authors: Abderrahim Frih, Zakaria Chalh, Mostafa Mrabti
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, a new methodology is proposed to determinate the controllability and the observability matrices of linear time varying systems modeled by bond graph. As the bond graph model can be viewed as a state space representation and as a module (algebraic approach), the determination of controllability and observability matrices is presented with the graphical approach. The equivalence between the two approaches (Graphic, Mathematical) is proposed and a graphical methodology is pointed out directly on the bond graph representation.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:23Z
DOI: 10.1142/S1793557118500389
- Authors: Abderrahim Frih, Zakaria Chalh, Mostafa Mrabti
- Exhaustion 2-subsets in dihedral groups of order [math]
- Authors: Denis Chee Keong Wong, Kuan Wai Wong, Wun-She Yap
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
Let [math] be the dihedral group of order [math], where [math] is an odd prime. A nonempty subset [math] of [math] is said to be exhaustive if there exists a positive integer [math] such that [math] covers all elements in [math]. The smallest such [math] is called the exhaustion number of [math]. In general, finding [math] for an arbitrary subset [math] of [math] is an interesting but difficult task. In this paper, we classify all possible exhaustion 2-subsets in [math] by considering a 2-subset [math] of [math] with either [math] or [math] and [math]. Some explicit formulas for [math] are identified and hence some bounds are derived to prove the existence for certain families of exhaustive sets.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:17Z
DOI: 10.1142/S179355711850047X
- Authors: Denis Chee Keong Wong, Kuan Wai Wong, Wun-She Yap
- Some integral identities for products of Airy functions using integral
transforms- Authors: Alireza Ansari, Mohammad Rasool Masomi
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, using the integral identities of Bessel functions, we obtain new integral identities for the products of Airy functions. We get various integrals involving the Widder potential, the Fourier sine and cosine transforms of the products of Airy functions in terms of some special functions.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:12Z
DOI: 10.1142/S1793557118500468
- Authors: Alireza Ansari, Mohammad Rasool Masomi
- Twin signed total Roman domination numbers in digraphs
- Authors: J. Amjadi, M. Soroudi
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
Let [math] be a finite simple digraph with vertex set [math] and arc set [math]. A twin signed total Roman dominating function (TSTRDF) on the digraph [math] is a function [math] satisfying the conditions that (i) [math] and [math] for each [math], where [math] (respectively [math]) consists of all in-neighbors (respectively out-neighbors) of [math], and (ii) every vertex [math] for which [math] has an in-neighbor [math] and an out-neighbor [math] with [math]. The weight of an TSTRDF [math] is [math]. The twin signed total Roman domination number [math] of [math] is the minimum weight of an TSTRDF on [math]. In this paper, we initiate the study of twin signed total Roman domination in digraphs and we present some sharp bounds on [math]. In addition, we determine the twin signed Roman domination number of some classes of digraphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T09:00:06Z
DOI: 10.1142/S1793557118500341
- Authors: J. Amjadi, M. Soroudi
- Existence and uniqueness theorem for set-valued Volterra–Hammerstein
integral equations- Authors: Andrej V. Plotnikov, Tatyana A. Komleva, Irina V. Molchanyuk
Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
In this paper, we consider two types of set-valued Volterra–Hammerstein integral equations and prove the existence and uniqueness theorem.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-03T08:59:56Z
DOI: 10.1142/S1793557118500365
- Authors: Andrej V. Plotnikov, Tatyana A. Komleva, Irina V. Molchanyuk
- Addendum: On a generalization of the Gauss formula
- Authors: Marius Tărnăuceanu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this short note, we give a characterization of ZM-groups that uses the functions defined and studied in [M. Tărnăuceanu, A generalization of the Euler’s totient function, Asian-Eur. J. Math. 8(4) (2015) 1550087; M. Tărnăuceanu, On a generalization of the Gauss formula, Asian-Eur. J. Math. 10(1) (2017) 1750008]. This leads to a proof of Conjecture 6 in [M. Tărnăuceanu, On a generalization of the Gauss formula, Asian-Eur. J. Math. 10(1) (2017) 1750008].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-05-14T09:15:23Z
DOI: 10.1142/S1793557118910011
- Authors: Marius Tărnăuceanu
- Co-quasiordered residuated systems: An introduction
- Authors: Daniel A. Romano
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce and discuss a concept of co-quasiordered residuated relational systems. The setting of this research is Bishop’s constructive mathematics — a mathematics based on the Intuitionisic logic and particular principle-philosophical orientation of this attitude. Moreover, we introduce the concept of co-filters in such relational system. Additionally, some of the fundamentals properties of these substructures we have been shown.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-24T09:35:51Z
DOI: 10.1142/S1793557119500736
- Authors: Daniel A. Romano
- [math]-weakly second submodules
- Authors: Indah Emilia Wijayanti, Dian Ariesta Yuwaningsih, Salmah
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We introduce the dual notions of [math]-weakly prime submodules, that is, [math]-weakly second submodules in a commutative ring with identity. We investigate the properties of [math]-weakly second submodules and obtain some related useful characterizations of this dualization. Moreover, we also prove some properties of [math]-weakly second submodules related to multiplication and comultiplication modules.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-23T09:24:57Z
DOI: 10.1142/S1793557119500724
- Authors: Indah Emilia Wijayanti, Dian Ariesta Yuwaningsih, Salmah
- Convergence of RK-iterative process for generalized nonexpansive mappings
in CAT(0) spaces- Authors: Ritika, Safeer Hussain Khan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some [math]-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-23T09:24:55Z
DOI: 10.1142/S1793557119500773
- Authors: Ritika, Safeer Hussain Khan
- Meet-reducible submaximal clones determined by two central relations
- Authors: Y. L. T. Jeufack, L. Diekouam, E. R. A. Temgoua
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] and [math] be two central relations on a finite set [math]. It is known from Rosenberg’s classification theorem (1965) that the clones [math] and [math] which consist of all operations on [math] that preserve [math], respectively, [math] are among the maximal clones on [math]. In this paper, we find all central relations [math] such that the clone [math] is a maximal subclone of [math], where [math] is a fixed central relation.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:29Z
DOI: 10.1142/S1793557119500645
- Authors: Y. L. T. Jeufack, L. Diekouam, E. R. A. Temgoua
- Biorthogonal wavelet-based multigrid and full approximation scheme for the
numerical solution of parabolic partial differential equations- Authors: S. C. Shiralashetti, L. M. Angadi, A. B. Deshi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper presents biorthogonal wavelet-based multigrid (BWMG) and full approximation scheme (FAS) for the numerical solution of parabolic partial differential equations (PPDEs), which are working horse behind many commercial applications like finger print image compression. Performance of the proposed schemes is better than the existing ones in terms of super convergence with less computational time. Some of the test problems are taken to demonstrate the applicability and validity of the method.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:28Z
DOI: 10.1142/S1793557119500542
- Authors: S. C. Shiralashetti, L. M. Angadi, A. B. Deshi
- Magnifying elements of semigroups of transformations with invariant set
- Authors: Ronnason Chinram, Samruam Baupradist
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a semigroup of all transformations on a set [math] Let [math] be a fixed nonempty subset of [math] and [math] Then [math] is a subsemigroup of [math] which leaves a subset [math] of [math] invariant. If [math] then [math] In this paper, we give necessary and sufficient conditions for elements in [math] to be left or right magnifying.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:28Z
DOI: 10.1142/S1793557119500566
- Authors: Ronnason Chinram, Samruam Baupradist
- Salvage value and three variable Weibull deteriorating rate for
non-instantaneous deteriorating items- Authors: Hetal Patel, Ajay Gor
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Existing study gives ordering policy for non-instantaneous deteriorating items having three-variable Weibull distribution deterioration rate. Demand rate varies in different time interval. Before deterioration starts, demand is constant and after that it decreases exponentially with respect to time. The study considers total cost function as objective function including salvage value. Shortages are not allowed to stay in time-based competition. Results are proved theoretically and numerically. Sensitivity analysis is performed with respect to salvage value, scale parameter, shape parameter and location parameter including in deterioration rate function to show the liability of the model.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:28Z
DOI: 10.1142/S1793557119500700
- Authors: Hetal Patel, Ajay Gor
- Some properties of the weak product of graphs on lattices
- Authors: S. K. Nimbhorkar, U. R. Borsarkar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Some properties of the weak product of graphs on lattices are studied. We consider the weak product of the atom-based graphs, the incomparability graphs and the zero-divisor graphs of lattices. The number of edges in the weak product of such graphs is found. It is shown that the weak direct product of the atom-based graphs of two lattices [math] and [math] cannot be an induced subgraph of the atom-based graph of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:27Z
DOI: 10.1142/S1793557119500529
- Authors: S. K. Nimbhorkar, U. R. Borsarkar
- The null set of the join of paths
- Authors: Arnold A. Eniego, I. J. L. Garces
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
For positive integer [math], a graph [math] is said to be [math]-magic if the edges of [math] can be labeled with the nonzero elements of Abelian group [math], where [math] (the set of integers) and [math] is the group of integers mod [math], so that the sum of the labels of the edges incident to any vertex of [math] is the same. When this constant sum is [math], we say that [math] is a zero-sum [math]-magic graph. The set of all [math] for which [math] is a zero-sum [math]-magic graph is the null set of [math]. In this paper, we will completely determine the null set of the join of a finite number of paths.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:27Z
DOI: 10.1142/S1793557119500608
- Authors: Arnold A. Eniego, I. J. L. Garces
- Heisenberg uncertainty inequality for certain Lie groups
- Authors: Kais Smaoui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We establish analogues of Heisenberg uncertainty inequality for some classes of Lie groups, such as connected and simply connected nilpotent Lie groups, diamond Lie groups and Heisenberg motion groups.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:26Z
DOI: 10.1142/S1793557119500657
- Authors: Kais Smaoui
- Numerical treatment of fractional-order nonlinear system of delay
integro-differential equations arising in biology- Authors: F. Mohammadi, L. Moradi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper presents a fractional-order nonlinear system of delay integro-differential equations which is used to model biological species living together. A numerical scheme based on the Chelyshkov polynomials is implemented to solve this fractional order system of integro-differential equations. The main advantages of the presented method is that it reduces under consideration problem to a system of nonlinear algebraic equations. Some test problems are considered to confirm validity and accuracy of the presented method. Moreover, the obtained numerical results are compared with those existing in the literature.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:26Z
DOI: 10.1142/S1793557119500682
- Authors: F. Mohammadi, L. Moradi
- A numerical study of two-dimensional coupled systems and higher order
partial differential equations- Authors: R. Rohila, R. C. Mittal
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a new approach and methodology is developed by incorporating differential quadrature technique with Bernstein polynomials. In differential quadrature method, approximations are done in a way that the derivatives of the function are replaced by a linear sum of functional values at the grid points of the given domain. In Bernstein differential quadrature method (BDQM), Bernstein polynomials are employed for spatial discretization so that a system of ordinary differential equations (ODE’s) is obtained which is solved by SSPRK-43 method. The stability of the method is also studied. The accuracy of the present method is checked by performing numerical experiments on two-dimensional coupled Burgers’ and Brusselator systems and fourth-order extended Fisher Kolmogorov (EFK) equation. Implementation of the method is very easy, efficient and capable of reducing the size of computational efforts.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:26Z
DOI: 10.1142/S1793557119500712
- Authors: R. Rohila, R. C. Mittal
- Solving of nonlinear Fredholm integro-differential equation in a complex
plane with rationalized Haar wavelet bases- Authors: Majid Erfanian, Hamed Zeidabadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Everyone knows about the complicated solution of the nonlinear Fredholm integro-differential equation in general. Hence, often, authors attempt to obtain the approximate solution. In this paper, a numerical method for the solutions of the nonlinear Fredholm integro-differential equation (NFIDE) of the second kind in the complex plane is presented. In fact, by using the properties of Rationalized Haar (RH) wavelet, we try to give the solution of the problem. So far, as we know, no study has yet been attempted for solving the NFIDE in the complex plane. For this purpose, we introduce the continuous integral operator and real valued function. The Banach fixed point theorem guarantees that, under certain assumptions, the integral operator has a unique solution. Furthermore, we give an upper bound for the error analysis. An algorithm is presented to compute and illustrate the solutions for some numerical examples.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:25Z
DOI: 10.1142/S1793557119500554
- Authors: Majid Erfanian, Hamed Zeidabadi
- Unoriented knot polynomials of torus links as Fibonacci-type polynomials
- Authors: İsmet Altıntaş, Kemal Taşköprü
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The focus of this paper is to study the two-variable Kauffman polynomials [math] and [math], and the one-variable BLM/Ho polynomial [math] of [math]-torus link as the Fibonacci-type polynomials and to express the Kauffman polynomials in terms of the BLM/Ho polynomial. For this purpose, we prove that each of the examined polynomials of [math]-torus link can be determined by a third-order recurrence relation and give the recursive properties of them. We correlate these polynomials with the Fibonacci-type polynomials. By using the relations between the BLM/Ho polynomials and Fibonacci-type polynomials, we express the Kauffman polynomials in terms of the BLM/Ho polynomials.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:24Z
DOI: 10.1142/S1793557119500530
- Authors: İsmet Altıntaş, Kemal Taşköprü
- Representation theorems of [math]-trees and Brownian motions indexed by
[math]-trees- Authors: Asuman Güven Aksoy, Monairah Al-Ansari, Qidi Peng
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We provide a new representation of an [math]-tree by using a special set of metric rays. We have captured the four-point condition from these metric rays and shown an equivalence between the [math]-trees with radial and river metrics, and these sets of metric rays. In stochastic analysis, these graphical representation theorems are of particular interest in identifying Brownian motions indexed by [math]-trees.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:24Z
DOI: 10.1142/S1793557119500670
- Authors: Asuman Güven Aksoy, Monairah Al-Ansari, Qidi Peng
- Continuity of [math]-convex functions
- Authors: M. Rostamian Delavar, S. S. Dragomir
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a condition which implies the continuity of an [math]-convex function is investigated. In fact, any [math]-convex function bounded from above is continuous if the function [math] satisfies a certain condition which is called pre-continuity condition.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-19T08:27:23Z
DOI: 10.1142/S1793557119500591
- Authors: M. Rostamian Delavar, S. S. Dragomir
- Characterization of some minimal codes for secret sharing
- Authors: Sassia Makhlouf, Lemnouar Noui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Recently, several authors used linear codes to construct secret sharing schemes. It is known that if each nonzero codeword of a code [math] is minimal, then the dual code [math] is suitable for secret sharing. To seek such codes Ashikhmin–Barg give a sufficient condition from weights; in [math] code [math], let [math] and [math] be the minimum and maximum nonzero weights, respectively. If wmin wmax> q − 1 q(*) then all nonzero codewords of [math] are minimal. In this paper, a necessary and sufficient condition is given for self-dual codes and for MDS codes to verify the inequality (*). Special codes are examined and applied for secret sharing schemes.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:54Z
DOI: 10.1142/S1793557119500268
- Authors: Sassia Makhlouf, Lemnouar Noui
- Hölder type integral inequalities with different pseudo-operations
- Authors: Sadegh Abbaszadeh, Ali Ebadian, Mohsen Jaddi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The theory of non-additive measures and relevant nonlinear integrals has recently been developed as a new branch of mathematics with various applications in other sciences. In this area, pseudo-additive measures and pseudo-integrals play important roles as new extensions of measures and integrals. The aim of this paper is to prove Hölder type integral inequalities with different pseudo-operations. Several examples are given to show the inequalities in more tangible forms.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:54Z
DOI: 10.1142/S1793557119500323
- Authors: Sadegh Abbaszadeh, Ali Ebadian, Mohsen Jaddi
- When the annihilator-ideal graph is planar or complete bipartite graph
- Authors: M. J. Nikmehr, S. M. Hosseini
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with identity and [math] be the set of ideals of [math] with nonzero annihilator. The annihilator-ideal graph of [math], denoted by [math], is a simple graph with the vertex set [math], and two distinct vertices [math] and [math] are adjacent if and only if [math]. In this paper, we present some results on the bipartite, complete bipartite, outer planar and unicyclic of the annihilator-ideal graphs of a commutative ring. Among other results, bipartite annihilator-ideal graphs of rings are characterized. Also, we investigate planarity of the annihilator-ideal graph and classify rings whose annihilator-ideal graph is planar.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:53Z
DOI: 10.1142/S1793557119500244
- Authors: M. J. Nikmehr, S. M. Hosseini
- On codes over [math] and its covering radius
- Authors: N. Annamalai, C. Durairajan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper gives lower and upper bounds on the covering radius of codes over [math] with respect to Lee distance. We also determine the covering radius of various repetition codes over [math]
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:53Z
DOI: 10.1142/S179355711950027X
- Authors: N. Annamalai, C. Durairajan
- Structure of repeated-root constacyclic codes of length [math]
- Authors: Saroj Rani
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Constacyclic codes form an important class of linear codes which is remarkable generalization of cyclic and negacyclic codes. In this paper, we assume that [math] is the finite field of order [math] where [math] is a power of the prime [math] and [math] are distinct odd primes, and [math] are positive integers. We determine generator polynomials of all constacyclic codes of length [math] over the finite field [math] We also determine their dual codes.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:52Z
DOI: 10.1142/S1793557119500505
- Authors: Saroj Rani
- Existence and approximative fixed points for multifunctions
- Authors: Hojjat Afshari, Hassen Aydi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to present some new fixed point theorems for multifunctions, obtained by combining the methods of Suzuki and Samet and by using different conditions for generalized contractive multifunctions. Some examples are also considered.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:51Z
DOI: 10.1142/S1793557119500220
- Authors: Hojjat Afshari, Hassen Aydi
- On the doubly connected domination polynomial of a graph
- Authors: M. H. Akhbari, F. Movahedi, M. Arslanov
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a simple graph. A set [math] is a doubly connected dominating set of [math] if it is a dominating set and both induced subgraphs [math] and [math] are connected. In this paper, we introduce the doubly connected domination polynomial of a graph. We investigate some properties of these polynomials for some specific graphs. Also, we compute the doubly connected domination polynomial for some families of graphs such as the friendship graphs and the cactus chains graphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:51Z
DOI: 10.1142/S1793557119500360
- Authors: M. H. Akhbari, F. Movahedi, M. Arslanov
- Maps preserving triple product [math] on ∗-algebras
- Authors: Ali Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] and [math] be two prime ∗-algebras. Let [math] be a bijective and satisfies Φ(A • B • C) = Φ(A) • Φ(B) • Φ(C), for all [math] where [math]. Then, [math] is additive. Moreover, if [math] is idempotent then we show that [math] is [math]-linear ∗-isomorphism.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:51Z
DOI: 10.1142/S1793557119500384
- Authors: Ali Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish
- The order of appearance of the sum and difference between two Fibonacci
numbers- Authors: Pavel Trojovský
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be the [math]th Fibonacci number and [math] be the [math]th Lucas number. The order of appearance [math] of a natural number [math] is defined as the smallest natural number [math] such that [math] divides [math]. For instance, [math], for all [math]. In this paper, among other things, we prove that [math] depends on [math], where [math] is the greatest common divisor of numbers [math] and [math], which fulfill the condition [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:51Z
DOI: 10.1142/S1793557119500463
- Authors: Pavel Trojovský
- Some inequalities for the multiplier of a pair of [math]-Lie algebras
- Authors: Azam K. Mousavi, Mohammad Reza R. Moghaddam, Mehdi Eshrati
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a pair of [math]-Lie algebras. Then, we introduce the concept of Schur multiplier of the pair [math], denoted by [math], and some inequalities for the dimension of [math] are given. We also determine a necessary and sufficient condition, for which the Schur multiplier of a pair of [math]-Lie algebras can be embedded into the Schur multipliers of their [math]-Lie algebra factors. Moreover, some inequalities for the Schur multiplier of a pair of finite-dimensional nilpotent [math]-Lie algebras are acquired.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:50Z
DOI: 10.1142/S1793557119500281
- Authors: Azam K. Mousavi, Mohammad Reza R. Moghaddam, Mehdi Eshrati
- Orbital stability of standing waves for nonlinear fractional Schrödinger
equation with unbounded potential- Authors: Xiaohua Liu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the orbital stability of standing waves for nonlinear fractional Schrödinger equation is considered. By constructing the constrained functional extreme-value problem, the existence of standing waves is studied. With the help of the orbital stability theories presented by Grillakis, Shatah and Strauss, the orbital stability of standing waves is determined by the sign of a discriminant. To our knowledge, it is the first time that the abstract orbital stability theories presented by Grillakis, Shatah and Strauss are applied to study the stability of solutions for fractional evolution equation.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:50Z
DOI: 10.1142/S1793557119500438
- Authors: Xiaohua Liu
- Some growth properties of composite [math]-adic entire functions on the
basis of their relative order and relative lower order- Authors: Tanmay Biswas
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a complete ultrametric algebraically closed field and [math] be the [math]-algebra of entire functions on [math]. For [math], [math], we wish to introduce the notions of relative order and relative lower order of [math] with respect to [math]. Hence, after proving some basic results, in this paper, we estimate some growth rates of composite [math]-adic entire functions on the basis of their relative orders and relative lower orders.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:50Z
DOI: 10.1142/S179355711950044X
- Authors: Tanmay Biswas
- Results of differential subordination for a unified subclass of analytic
functions defined using generalized Ruscheweyh derivative operator- Authors: Ritu Agarwal, G. S. Paliwal, Parany Goswami
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce a unified subclass of analytic functions by making use of the principle of subordination, involving generalized Ruscheweyh Derivative operator [math]. The properties such as inclusion relationships, distortion theorems, coefficient inequalities and differential sandwich theorem for the above class have been discussed.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:49Z
DOI: 10.1142/S1793557119500359
- Authors: Ritu Agarwal, G. S. Paliwal, Parany Goswami
- Global solvability and regularity for [math] on an annulus between two
weakly convex domains which satisfy property (P)- Authors: Sayed Saber
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a complex manifold of dimension [math] and let [math]. Let [math] be a weakly [math]-convex and [math] be a weakly [math]-convex in [math] with smooth boundaries such that [math]. Assume that [math] and [math] satisfy property [math]. Then the compactness estimate for [math]-forms [math] holds for the [math]-Neumann problem on the annulus domain [math]. Furthermore, if [math] is [math]-closed [math]-form, which is [math] on [math] and which is cohomologous to zero on [math], the canonical solution [math] of the equation [math] is smooth on [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:49Z
DOI: 10.1142/S1793557119500414
- Authors: Sayed Saber
- Certain applications of WP-Bailey pairs
- Authors: Maheshwar Pathak, Pankaj Srivastava
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the present paper, certain new transformation formulae for basic hypergeometric series have been developed with the help of new WP-Bailey pair generated from old WP-Bailey pair.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:49Z
DOI: 10.1142/S1793557119500499
- Authors: Maheshwar Pathak, Pankaj Srivastava
- Lattice vector spaces and linear transformations
- Authors: Geena Joy, K. V. Thomas
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper introduces the concept of lattice vector space and establishes many important results. Also, this paper deals with linear transformations on lattice vector spaces and discusses their elementary properties. We prove that every finite dimensional lattice vector space is isomorphic to [math] and show that the set of all columns (or the set of all rows) of an invertible matrix over [math] is a basis for [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:48Z
DOI: 10.1142/S1793557119500311
- Authors: Geena Joy, K. V. Thomas
- An elementary proof of the symplectic spectral theorem
- Authors: Camilo Sanabria Malagón
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The classical spectral theorem completely describes self-adjoint operators on finite-dimensional inner product vector spaces as linear combinations of orthogonal projections onto pairwise orthogonal subspaces. We prove a similar theorem for self-adjoint operators on finite-dimensional symplectic vector spaces over perfect fields. We show that these operators decompose according to a polarization, i.e. as the product of an operator on a Lagrangian subspace and its dual on a complementary Lagrangian. Moreover, if all the eigenvalues of the operator are in the base field, then there exists a Darboux basis such that the matrix representation of the operator is [math] blocks block-diagonal, where the first block is in Jordan normal form and the second block is the transpose of the first one.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:48Z
DOI: 10.1142/S1793557119500335
- Authors: Camilo Sanabria Malagón
- Quotient of linear relations and applications
- Authors: Abdellah Gherbi, Bekkai Messirdi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we extend the notion of quotient of linear operators to linear relations. We introduce for two given linear relations [math] and [math], the linear relation quotient [math] and we give a detailed treatment of some basic algebraic and topological properties of this new notion.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:48Z
DOI: 10.1142/S1793557119500475
- Authors: Abdellah Gherbi, Bekkai Messirdi
- Type I and Type II codes over the ring [math]
- Authors: Ankur, Pramod Kumar Kewat
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We discuss self-dual codes over the ring [math]. We characterize the structure of self-dual, Type I codes and Type II codes over [math] with given generator matrix in terms of the structure of their Torsion and Residue codes. We construct self-dual, Type I and Type II codes over [math] for different lengths.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:47Z
DOI: 10.1142/S1793557119500256
- Authors: Ankur, Pramod Kumar Kewat
- Study on quasi-[math]-hyperideals in [math]-semihypergroups
- Authors: Kostaq Hila, Saleem Abdullah, Krisanthi Naka
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we are dealing with [math]-semihypergroups which are a generalization of a semigroup, [math]-semigroup and a semihypergroup. We introduce the notion of generalized quasi-[math]-hyperideal i.e. of [math]-quasi-[math]-hyperideal, [math]-right [math]-hyperideal and [math]-left [math]-hyperideal in [math]-semihypergroups and different properties of them and relations between them are studied.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:47Z
DOI: 10.1142/S179355711950030X
- Authors: Kostaq Hila, Saleem Abdullah, Krisanthi Naka
- Commutative rings whose ideal lattices are complemented
- Authors: Ivan Chajda, Helmut Länger
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We characterize those commutative rings [math] whose ideal lattice [math] endowed with the annihilation operation is an ortholattice. Moreover, we provide an analogous characterization for the annihilator lattice [math] endowed with the annihilation operation. Since the ideal lattice of [math] is modular, [math] is already an orthomodular lattice provided it is an ortholattice. However, there exist also commutative rings whose ideal lattices are complemented but the complementation differs from annihilation. We present an example of such a ring and develop a procedure producing infinitely many rings with this property. Finally, we provide a sufficient condition for double annihilation to be a homomorphism from [math] onto [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:46Z
DOI: 10.1142/S1793557119500396
- Authors: Ivan Chajda, Helmut Länger
- Global well-posedness for the two-component Camassa–Holm equation
with fractional dissipation- Authors: Jingqun Wang, Jing Li, Lixin Tian
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we investigate the two-component Camassa–Holm equation with fractional dissipation ut − utxx + k ∧γ(u − u xx) + 3uux − (2uxuxx + uuxxx) + ρρx = 0,t> 0,x ∈ R,ρt + ∧1 2ρ + (uρ)x = 0, t> 0,x ∈ R, where [math] denotes the fractional dissipative operator which is defined by the Fourier transform [math]. We prove the local-posedness of this equation via the Littlewood–Paley theory and the suitable iterative scheme. Furthermore, under appropriate discussions, we give the global well-posedness of the above equation.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:46Z
DOI: 10.1142/S1793557119500517
- Authors: Jingqun Wang, Jing Li, Lixin Tian
- Morita invariants of semirings related to a Morita context
- Authors: Krishanu Dey, Sugato Gupta, Sujit Kumar Sardar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The main purpose of the paper is to consider two Morita equivalent semirings [math] and [math] via Morita context [math] instead of considering them via the equivalence of the resulting semimodule categories and then to investigate various Morita invariants related to each of the pairs [math]; [math]; [math]; [math], etc.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:45Z
DOI: 10.1142/S1793557119500232
- Authors: Krishanu Dey, Sugato Gupta, Sujit Kumar Sardar
- Descent spectrum equality
- Authors: Abdelaziz Tajmouati, Hamid Boua, Abdeslam El Bakkali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A bounded operator [math] in a Banach space [math] is said to satisfy the descent spectrum equality, if the descent spectrum of [math] as an operator on [math] coincides with the descent spectrum of [math] as an element of the algebra [math] of all bounded linear operators on [math]. In this paper, we give some conditions under which the equality [math] holds for a single operator [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:45Z
DOI: 10.1142/S1793557119500293
- Authors: Abdelaziz Tajmouati, Hamid Boua, Abdeslam El Bakkali
- The conditions of existence of a solution of the degenerate two-point in
time problem for PDE- Authors: Zinovii Nytrebych, Oksana Malanchuk
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The problem with local nonhomogeneous two-point in time conditions for homogeneous PDE of the second order in time and, generally, infinite order in spatial variables is investigated. This problem is degenerated namely its characteristic determinant is identically zero. The condition of existence of a solution of the degenerate problem is established. Also, we proposed the differential-symbol method of constructing the solution of the problem in the classes of entire functions. Some examples of solving the degenerate two-point in time problems are presented.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-10T07:47:45Z
DOI: 10.1142/S1793557119500372
- Authors: Zinovii Nytrebych, Oksana Malanchuk
- Finite summation formulas of Srivastava’s general triple
hypergeometric function- Authors: Vivek Sahai, Ashish Verma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper continues the study of finite summation formulas of multivariable hypergeometric functions. Earlier, Wang and Chen [Finite summation formulas of double hypergeometric functions, Int. Transf. Spec. Funct. 28(3) (2016) 239–253] established finite summation formulas of double hypergeometric functions by using some well-known summation theorems. We present here finite summation formulas for Srivastava’s general triple hypergeometric function. Certain particular cases leading to finite summation formulas for Lauricella functions and Srivastava’s triple hypergeometric functions are also presented.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-09T08:00:55Z
DOI: 10.1142/S1793557119500207
- Authors: Vivek Sahai, Ashish Verma
- [math]-Pell, [math]-Pell–Lucas and modified [math]-Pell sedenions
- Authors: Paula Catarino
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of this work is to present the [math]-Pell, the [math]-Pell–Lucas and the Modified [math]-Pell sedenions and we give some properties involving these sequences, including the Binet-style formulae and the ordinary generating functions.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-09T08:00:54Z
DOI: 10.1142/S1793557119500189
- Authors: Paula Catarino
- Hidden variable bivariate fractal interpolation functions and errors on
perturbations of function vertical scaling factors- Authors: Chol-Hui Yun, Mi-Kyong Ri
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we present a construction of hidden variable bivariate fractal interpolation functions (HVBFIFs) with function vertical scaling factors and estimate errors of HVBFIFs on perturbation of the function vertical scaling factor. We construct HVBFIFs on the basis of the iterated function system (IFS) with function vertical scaling factors. The perturbation of the function vertical scaling factors in the IFS causes a change in the HVBFIF. An upper estimation of the errors between the original HVBFIF and the perturbed HVBFIF is given.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-09T08:00:54Z
DOI: 10.1142/S1793557119500219
- Authors: Chol-Hui Yun, Mi-Kyong Ri
- Second Hankel determinant for certain class of bi-univalent functions
defined by Chebyshev polynomials- Authors: H. Orhan, N. Magesh, V. K. Balaji
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass [math] of analytic bi-univalent function class [math] which is associated with Chebyshev polynomials in the open unit disk.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-04-09T08:00:53Z
DOI: 10.1142/S1793557119500177
- Authors: H. Orhan, N. Magesh, V. K. Balaji
- New approximation method for Volterra nonlinear integro-differential
equation- Authors: Sami Segni, Mourad Ghiat, Hamza Guebbai
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this work, we build a new numerical method to approximate the solution of Volterra’s nonlinear integro-differential equation. This method needs fewer conditions to converge, compared to the direct Nytröm method. Numerical tests show its efficiency. This new method is more practical and compatible with the Volterra nonlinear integro-differential equation.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-02-05T03:48:09Z
DOI: 10.1142/S1793557119500165
- Authors: Sami Segni, Mourad Ghiat, Hamza Guebbai
- Some properties of n-autonilpotent groups
- Authors: S. F. Mohebian, S. Hosseini
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The concepts of autonilpotent groups were introduced by Parvaneh and Moghaddam in 2010. In this paper, we introduce the generalized version of lower n-autocenteral and upper n-autocenteral series. Using these concepts, the notion of n-autonilpotent groups will be defined and some of the well-known theorems on autonilpotent groups will be proved in the generalized version.
Citation: Asian-European Journal of Mathematics
PubDate: 2018-02-05T03:48:04Z
DOI: 10.1142/S1793557119500141
- Authors: S. F. Mohebian, S. Hosseini
- Gröbner–Shirshov basis method for multiple tensor products of
some associative algebras- Authors: Rabigul Tuniyaz, Abdukadir Obul
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we establish Composition-Diamond lemma for multiple tensor products of commutative algebra [math], free associative algebras [math], Grassman algebras [math] and path algebras [math] over a field [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2018-02-05T03:47:59Z
DOI: 10.1142/S1793557119500153
- Authors: Rabigul Tuniyaz, Abdukadir Obul
- Complete rewriting system for the Schützenberger product of [math]
groups- Authors: Esra Kırmızı Çetinalp, Eylem Güzel Karpuz, Ahmet Sinan Çevik
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we obtain a complete rewriting system for monoid presentation of Schützenberger product of [math] groups, which is firstly defined in [G. M. S. Gomes, H. Sezinando and J. E. Pin, Presentations of the Schützenberger product of [math] groups, Comm. Algebra 34(4) (2006) 1213–1235]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T11:15:58Z
DOI: 10.1142/S1793557119500128
- Authors: Esra Kırmızı Çetinalp, Eylem Güzel Karpuz, Ahmet Sinan Çevik
- Discrete duality for De Morgan Algebras with operators
- Authors: Verónica Gregori
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A discrete duality is a relationship between classes of algebras and classes of relational systems (frames). In this paper, discrete dualities are presented for De Morgan algebras with various kind of unary operators. To do this, we will extend the discrete duality given in [W. Dzik, E. Orłowska and C. van Alten, Relational representation theorems for general lattices with negations, in Relations and Kleene Algebra in Computer Science, Lecture Notes in Computer Science, Vol. 4136 (Springer, Berlin, 2006), pp. 162–176], for De Morgan algebras.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:53Z
DOI: 10.1142/S1793557119500104
- Authors: Verónica Gregori
- Iso-retractable modules and rings
- Authors: A. K. Chaturvedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The modules which are isomorphic to their non-zero submodules are known as iso-retractable. We characterize simple modules in terms of iso-retractable modules. We provide several sufficient conditions for iso-retractable modules to be simple. We show that if the endomorphism ring of an iso-retractable module is von-Neumann regular then [math] is a simple module. In general, iso-retractable modules need not be projective (injective) and vice versa. We investigate some properties of iso-retractable modules with projectivity as well as injectivity. Finally, we provide some open problems.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:53Z
DOI: 10.1142/S179355711950013X
- Authors: A. K. Chaturvedi
- New process to approach linear Fredholm integral equations defined on
large interval- Authors: Samir Lemita, Hamza Guebbai
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
To tackle a linear Fredholm integral equation on great interval, two numerical processes are involved: discretization and iterative scheme. The conventional numerical process is discretize first then use an iterative scheme as Jacobi’s method to approach the solutions of the huge algebraic system. In this paper, we propose an alternative numerical process, we apply an iterative scheme based on construction of a generalization of the iterative scheme for Jacobi method which is adapted to the system of linear bounded operators, then we use Nyström method to discretize only the diagonal part of the system. The convergence analysis of this new method is proved and numerical tests developed show its effectiveness.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:52Z
DOI: 10.1142/S1793557119500098
- Authors: Samir Lemita, Hamza Guebbai
- Monotone domain decomposition iterative technique for boundary value
problems of a nonlinear fractional differential equation- Authors: Myong-Gil Rim, Chol-Guk Choe
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we present a monotone domain decomposition iterative technique for boundary value problems of a nonlinear fractional differential equation. We construct two monotone domain decomposition sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. The accuracy and efficiency of our new approach are demonstrated through two examples.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:52Z
DOI: 10.1142/S1793557119500116
- Authors: Myong-Gil Rim, Chol-Guk Choe
- Existence of solutions for a higher order fractional boundary value
problem posed on the half-line- Authors: A. Boucenna, T. Moussaoui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of this paper is to study the existence and uniqueness of solutions for a boundary value problem associated with a fractional nonlinear differential equation with higher order posed on the half-line. An appropriate continuous embedding for suitable Banach spaces are proved and the Minty–Browder theorem for monotone operators is used in the proof of existence of solutions for a boundary value problem of fractional order posed on the half-line.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-20T11:41:16Z
DOI: 10.1142/S1793557119500086
- Authors: A. Boucenna, T. Moussaoui
- [math]-[math]-Compactness and [math]-[math]-stability in ditopological
texture spaces- Authors: M. Parimala, R. Udhayakumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of [math]-[math]-open and [math]-[math]-closed sets and some of their characterizations are obtained.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:52Z
DOI: 10.1142/S1793557119500049
- Authors: M. Parimala, R. Udhayakumar
- Sensitivity, property [math] and uniform entropy
- Authors: Sejal Shah, Ruchi Das, Tarun Das
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We give a sufficient condition for sensitivity of continuous maps defined on a uniform space. We also study property [math] for uniformly continuous maps defined on a uniform space and its relation with uniform entropy.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:50Z
DOI: 10.1142/S1793557119500025
- Authors: Sejal Shah, Ruchi Das, Tarun Das
- Characterizing 2-distance graphs
- Authors: Ramuel P. Ching, I. J. L. Garces
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a finite simple graph. The [math]-distance graph [math] of [math] is the graph with the same vertex set as [math] and two vertices are adjacent if and only if their distance in [math] is exactly [math]. A graph [math] is a [math]-distance graph if there exists a graph [math] such that [math]. In this paper, we give three characterizations of [math]-distance graphs, and find all graphs [math] such that [math] or [math], where [math] is an integer, [math] is the path of order [math], and [math] is the complete graph of order [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:49Z
DOI: 10.1142/S1793557119500062
- Authors: Ramuel P. Ching, I. J. L. Garces
- Birkhoff center of [math]-semiring
- Authors: S. Kar, S. Purkait, R. Sarkar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of Birkhoff center of a [math]-semiring and provide some characterizations of this center. Finally, we prove that the Birkhoff center of a [math]-semiring forms a distributive lattice.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:48Z
DOI: 10.1142/S1793557119500037
- Authors: S. Kar, S. Purkait, R. Sarkar
- Some commutativity theorems for rings with involution involving
generalized derivations- Authors: My Abdallah Idrissi, Lahcen Oukhtite
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Our purpose in this paper is to investigate commutativity of a ring with involution [math] which admits a generalized derivation satisfying certain algebraic identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:47Z
DOI: 10.1142/S1793557119500013
- Authors: My Abdallah Idrissi, Lahcen Oukhtite
- Some varieties of algebraic systems of type [math]
- Authors: D. Phusanga, J. Koppitz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the present paper, we classify varieties of algebraic systems of the type [math], for natural numbers [math] and [math], which are closed under particular derived algebraic systems. If we replace in an algebraic system the [math]-ary operation by an [math]-ary term operation and the [math]-ary relation by the [math]-ary relation generated by an [math]-ary formula, we obtain a new algebraic system of the same type, which we call derived algebraic system. We shall restrict the replacement to so-called “linear” terms and atomic “linear” formulas, respectively.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:46Z
DOI: 10.1142/S1793557119500050
- Authors: D. Phusanga, J. Koppitz
- Semigroups of linear tree languages
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A linear tree language of type [math] is a set of linear terms, terms in which each variable occurs at most once, of that type. We investigate a semigroup consisting of the collection of all linear tree languages such that products of any element in the collection are nonempty and the operation of the corresponding linear product especially idempotent elements, Green’s relations [math], [math], and [math], and some of its subsemigroups. We discover that this semigroup is neither factorizable nor locally factorizable. We also study the linear product iteration and show that any iteration is idempotent in this semigroup. Moreover, we study a semigroup with the complement of the universe set of the above semigroup together with the same linear product operation.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-28T04:12:21Z
DOI: 10.1142/S1793557118500912
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
- The cozero-divisor graph of a module
- Authors: A. Alibemani, E. Hashemi, A. Alhevaz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be an associative ring with non-zero identity and [math] a non-zero unital left [math]-module. The cozero-divisor graph of [math], denoted by [math], is a graph with vertices [math] and two distinct vertices [math] and [math] are adjacent if [math] and [math]. In this paper, we study some connections between the graph-theoretic properties of [math] and algebraic-theoretic properties of [math] and [math]. Also, we study girth, independence number, clique number and planarity of this graph.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-28T04:12:21Z
DOI: 10.1142/S1793557118500924
- Authors: A. Alibemani, E. Hashemi, A. Alhevaz
- Numerical solution for system of nonlinear Fredholm–Hammerstein integral
equations based on hybrid Bernstein Block-Pulse functions with the Gauss
quadrature rulec- Authors: Esmail Hesameddini, Mostafa Khorramizadeh, Mehdi Shahbazi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This work provides an efficient method for solving system of nonlinear Fredholm–Hammerstein integral equations. The propose method approximates the unknown function with hybrid Bernstein Block-Pulse functions (HBPF). In order to do this, we apply these functions and then using the collocation method for the numerical solutions of this system. Furthermore, we implement this method in conjunction with the quadrature rule for converting the problem to a system of algebraic equations that can be solved easily by applying mathematical programming techniques. The merits of this method lie in the fact that, on the one hand, the problem will be reduced to a system of algebraic equations and on the other hand, the efficiency and accuracy of the hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule (HBPF-GQR) for solving this system are remarkable. The existence and uniqueness of solution have been presented. Moreover, the convergence of this algorithm will be shown by preparing some theorems. Several numerical examples are presented to show the superiority and efficiency of current method in comparison with some other well-known methods.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-22T02:10:34Z
DOI: 10.1142/S1793557118500894
- Authors: Esmail Hesameddini, Mostafa Khorramizadeh, Mehdi Shahbazi
- Mathematical modeling and optimal control of corruption dynamics
- Authors: S. Athithan, Mini Ghosh, Xue-Zhi Li
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity [math] which has a similar implication here as in the epidemiological modeling is obtained for the present model. The corruption free equilibrium is found to be stable when [math] is less than [math] and unstable for [math]. The endemic equilibrium which signifies the presence of corrupted individuals in the society exists only when [math]. This equilibrium point is locally asymptotically stable whenever it exists. We perform extensive numerical simulations to support the analytical findings. Furthermore, we extend the model to include optimal control and the optimal control profile is obtained to get the maximum control within a stipulated period of time. Our presented results show that the level of corruption in the society can be reduced if corruption control efforts through media/punishments etc. are increased and put in place.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-22T02:10:34Z
DOI: 10.1142/S1793557118500900
- Authors: S. Athithan, Mini Ghosh, Xue-Zhi Li
- Cyclic self-orthogonal codes over finite chain ring
- Authors: Abhay Kumar Singh, Narendra Kumar, Kar Ping Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study the cyclic self-orthogonal codes over a finite commutative chain ring [math], where [math] is a prime number. A generating polynomial of cyclic self-orthogonal codes over [math] is obtained. We also provide a necessary and sufficient condition for the existence of nontrivial self-orthogonal codes over [math]. Finally, we determine the number of the above codes with length [math] over [math] for any [math]. The results are given by Zhe-Xian Wan on cyclic codes over Galois rings in [Z. Wan, Cyclic codes over Galois rings, Algebra Colloq. 6 (1999) 291–304] are extended and strengthened to cyclic self-orthogonal codes over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:15Z
DOI: 10.1142/S179355711850078X
- Authors: Abhay Kumar Singh, Narendra Kumar, Kar Ping Shum
- Ideals of Core Regular Double Stone Algebra
- Authors: A. R. J. Srikanth, R. V. G. Ravi Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A regular double Stone algebra with nonvoid core is called core regular double Stone algebra (CRDSA) [6] and this particular core element affects the behavior of the algebra in certain aspects especially in characterization of maximal and prime ideals. In this paper, an elegant characterization for maximal and prime ideals of a CRDSA is established.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:15Z
DOI: 10.1142/S1793557118500833
- Authors: A. R. J. Srikanth, R. V. G. Ravi Kumar
- Existence results for diffusion–convection equations of nonlinear
unilateral problems defined in Orlicz–Sobolev spaces- Authors: H. Moussa, M. Rhoudaf, H. Sabiki
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We prove the existence result of unilateral problems associated to strongly nonlinear elliptic equations whose model, including the diffusion–convection equation, is [math]. We study exactly the following general case [math] where [math] is a Leray–Lions operator having a growth not necessarily of polynomial type, the lower order term [math] : [math] is a Carathéodory function, for a.e. [math] and for all [math] satisfying only a growth condition and the right-hand side [math] belongs to [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:14Z
DOI: 10.1142/S1793557118500791
- Authors: H. Moussa, M. Rhoudaf, H. Sabiki
- The weight distributions of irreducible cyclic codes of length [math]
- Authors: Monika Sangwan, Pankaj Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a primitive root modulo [math], where [math] and [math] are distinct odd primes. Let [math] be a finite field. For such pair of [math] and [math], the explicit expressions of minimal and generating polynomials over [math] are obtained for all irreducible cyclic codes of length [math]. In Sec. [4], it is observed that the weight distributions of all irreducible cyclic codes of length [math] over [math] can be computed easily with the help of the results obtained in [P. Kumar, M. Sangwan and S. K. Arora, The weight distribution of some irreducible cyclic codes of length [math] and [math], Adv. Math. Commun. 9 (2015) 277–289]. An explicit formula is also given to compute the weight distributions of irreducible cyclic codes of length [math] over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:14Z
DOI: 10.1142/S1793557118500857
- Authors: Monika Sangwan, Pankaj Kumar
- Variants for the logarithmic-quadratic proximal point scalarization method
for multiobjective programming- Authors: Rómulo Castillo, Clavel Quintana
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We consider the proximal point method for solving unconstrained multiobjective programming problems including two families of real convex functions, one of them defined on the positive orthant and used for modifying a variant of the logarithm-quadratic regularization introduced recently and the other for defining a family of scalar representations based on 0-coercive convex functions. We show convergent results, in particular, each limit point of the sequence generated by the method is a weak Pareto solution. Numerical results over fourteen test problems are shown, some of them with complicated pareto sets.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:13Z
DOI: 10.1142/S179355711850081X
- Authors: Rómulo Castillo, Clavel Quintana
- Lie nilpotency indices of modular group algebras II
- Authors: Meena Sahai, Reetu Siwach, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be the modular group algebra of a group [math] over a field [math] of characteristic [math]. The classification of the group algebras [math] with upper Lie nilpotency index [math] greater than or equal to [math] has already been done. In this paper, we determine the group algebras [math] such that [math], [math], [math], [math], [math] or [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:13Z
DOI: 10.1142/S1793557118500870
- Authors: Meena Sahai, Reetu Siwach, R. K. Sharma
- Positivity and recursion formula of the linearization coefficients of
Bessel polynomials- Authors: M. Benabdallah, M. J. Atia
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Positivity of the linearization coefficients for Bessel polynomials is proved in a more general case. The proof is based not only on a recursion formula (a formula similar to one given by Berg and Vignat) but also on giving an explicit triple sum formula. Moreover, this triple sum is simplified and a double sum formula for these linearization coefficients is given. In two general cases, this formula reduces indeed to either Atia and Zeng’s formula (M. J. Atia and J. Zeng, An explicit formula for the linearization coefficients of Bessel polynomials, Ramanujan J. 28(2) (2012) 211–221, doi: 10.1007/s11139-011-9348-4) or Berg and Vignat’s formulas in their proof of the positivity results about these coefficients (C. Berg and C. Vignat, Linearization coefficients of Bessel polynomials and properties of student [math]-distributions, Constr. Approx. 27 (2008) 15–32).
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:12Z
DOI: 10.1142/S1793557118500808
- Authors: M. Benabdallah, M. J. Atia
- On the neutrix composition of [math] and [math]
- Authors: Mongkolsery Lin
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The neutrix composition [math], [math] is a distribution and [math] is a locally summable function, is defined as the neutrix limit of the sequence [math], where [math] and [math] is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function [math]. The neutrix composition of the distributions [math] and [math] is evaluated for [math] Further related results are also deduced.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:12Z
DOI: 10.1142/S1793557118500869
- Authors: Mongkolsery Lin
- Fundamental group of the digital circle
- Authors: Pooja Singh, Dania Masood
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
An analog of extended real line, [math]-sphere and [math]-disc in the setting of digital topology has been provided and the fundamental group of the digital circle has been computed which comes out to be the additive group [math] of integers.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500821
- Authors: Pooja Singh, Dania Masood
- The non-abelian tensor square of [math]-groups of order [math]
- Authors: Taleea Jalaeeyan Ghorbanzadeh, Mohsen Parvizi, Peyman Niroomand
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, in the class of [math]-groups of order [math], we obtain the non-abelian exterior square, the exterior center, the non-abelian tensor square, the tensor center and the third homotopy group of suspension of an Eilenberg–MacLane space [math] of such groups.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500845
- Authors: Taleea Jalaeeyan Ghorbanzadeh, Mohsen Parvizi, Peyman Niroomand
- Approximate controllability of semilinear fractional stochastic control
system- Authors: Anurag Shukla, N. Sukavanam, D. N. Pandey
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear fractional stochastic control system with delay. The results hold when the nonlinear function is Lipschitz continuous. Sufficient conditions are obtained by separating the given fractional semilinear stochastic system into two systems namely a semilinear fractional system and a fractional linear stochastic system. To prove our results, the Schauder fixed point theorem is applied. At the end, one example is given to illustrate the results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500882
- Authors: Anurag Shukla, N. Sukavanam, D. N. Pandey
- A collocation method for a class of Fredholm integral equations with
highly oscillatory kernels- Authors: Roghayeh Katani, Fatemeh Pourahmad
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a collocation method by using Clenshaw–Curtis points is proposed to solve the Fredholm integral equations (FIEs) with highly oscillatory kernels. The collocation method is being applied to graded and uniform meshes. Due to the highly oscillatory kernels of integral equations, the discretized collocation equation will lead to the computation of the oscillatory integrals which will be computed by using the efficient Filon-type method. Finally, the effectiveness and accuracy of the proposed method are confirmed by numerical examples.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-25T08:42:10Z
DOI: 10.1142/S1793557118500766
- Authors: Roghayeh Katani, Fatemeh Pourahmad
- On the [math]-coherence of the perfect closure of some ring extensions
- Authors: Farzad Shaveisi, Mostafa Amini
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A ring [math] is called [math]-coherent if every [math]-presented ideal of [math] is [math]-presented. In this paper, the [math]-coherence of the perfect closure [math] is investigated. We show that if [math] is [math]-coherent, then it is normal. Also, it is shown that the perfect closure of a Noetherian reduced ring is [math]-coherent if and only if the perfect closure of its Henselization is [math]-coherent. Among other results, we study the [math]-coherence of [math] when [math] is a retract algebra.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-25T08:42:10Z
DOI: 10.1142/S1793557118500778
- Authors: Farzad Shaveisi, Mostafa Amini
- A new method for option pricing via time-fractional PDE
- Authors: Elaheh Saberi, S. Reza Hejazi, Elham Dastranj
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, power options pricing is driven via time-fractional PDE when the dynamic of underlying asset price follows a regime switching model in which the risky underlying asset depends on a continuous-time hidden Markov chain process. An exact solution for power options pricing is driven under our considered model.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-19T06:31:28Z
DOI: 10.1142/S1793557118500742
- Authors: Elaheh Saberi, S. Reza Hejazi, Elham Dastranj
- Connected hop domination in graphs under some binary operations
- Authors: Yamilita M. Pabilona, Helen M. Rara
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a simple graph. A hop dominating set [math] is called a connected hop dominating set of [math] if the induced subgraph [math] of [math] is connected. The smallest cardinality of a connected hop dominating set of [math], denoted by [math], is called the connected hop domination number of [math]. In this paper, we characterize the connected hop dominating sets in the join, corona and lexicographic product of graphs and determine the corresponding connected hop domination number of these graphs. The study of these concepts is motivated with a social network application.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-19T06:31:28Z
DOI: 10.1142/S1793557118500754
- Authors: Yamilita M. Pabilona, Helen M. Rara
- Skew cyclic codes over [math]
- Authors: Mohammad Ashraf, Ghulam Mohammad
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study skew cyclic codes over the ring [math], where [math], [math], [math], [math] and [math] is a prime. We define a Gray map from [math] to [math] and investigate the structural properties of skew cyclic codes over [math] using decomposition method. It is shown that the Gray images of skew cyclic codes of length [math] over [math] are the skew [math]-quasi cyclic codes of length [math] over [math]. Finally, the idempotent generators of skew cyclic codes over [math] have also been discussed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-17T02:39:22Z
DOI: 10.1142/S1793557118500729
- Authors: Mohammad Ashraf, Ghulam Mohammad
- Almost strongly Orlicz double sequence spaces of regular matrices and
their applications to statistical convergence- Authors: Kuldip Raj, Anu Choudhary, Charu Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [math]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [math]-normed spaces.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-17T02:39:22Z
DOI: 10.1142/S1793557118500730
- Authors: Kuldip Raj, Anu Choudhary, Charu Sharma
- On pointwise inner derivations of Lie algebras
- Authors: Azita Amiri, Farshid Saeedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Lie algebra and [math] and [math] be the set of all derivations and inner derivations of [math], respectively. A derivation [math] of a Lie algebra [math] is pointwise inner if [math] for all [math]. The set of all pointwise inner derivations of Lie algebra [math] denoted by [math] form a subalgebra of [math] containing [math]. In this paper, we prove that, if [math] is nilpotent of class [math] (solvable of length [math]), then [math] is nilpotent of class [math] (solvable of length [math] or [math]). We also prove that if [math] is nilpotent of class [math], then [math] is nilpotent of class at most [math], in which [math] and [math] is the [math]th term in the upper central series of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-23T07:23:00Z
DOI: 10.1142/S1793557118500705
- Authors: Azita Amiri, Farshid Saeedi
- On cyclic and negacyclic codes of length [math] over finite field
- Authors: Saroj Rani
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be finite field with [math] elements, where [math] be power of an odd prime [math]. In this paper, we determine generator polynomials of all cyclic and negacyclic codes of length [math] over [math] where [math] are distinct odd primes and [math] are positive integers. We also determine all self-dual, self-orthogonal, complementary-dual cyclic and negacyclic codes of length [math] over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-23T07:23:00Z
DOI: 10.1142/S1793557118500717
- Authors: Saroj Rani
- Injectivity in the category of GHS-acts
- Authors: Muhammad Shabir, Salma Shaheen, Kar Ping Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
It is known that hypermonoid is closely related to GHS-acts. In this paper, we initiate the study of injective object in the category [math]ct-S and explore its properties. Besides other results, we prove that the category [math]ct-S has enough injective objects and every GHS-act has a minimal injective extension.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500651
- Authors: Muhammad Shabir, Salma Shaheen, Kar Ping Shum
- Localization of tetravalent modal algebras
- Authors: Aldo V. Figallo, Gustavo Pelaitay
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The main aim of this paper is to define the localization of a tetravalent modal algebra [math] with respect to a topology [math] on [math]. In Sec. 5, we prove that the tetravalent modal algebra of fractions relative to a ∧-closed system (defined in Definition 3.1) is a tetravalent modal algebra of localization.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500675
- Authors: Aldo V. Figallo, Gustavo Pelaitay
- Semisimple semirings with respect to co-ideals theory
- Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concepts of semisimple semirings, Jacobson radical and socle of semirings based on their co-ideals and record some results involving them.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500699
- Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel
- Further results on the distance signless Laplacian spectrum of graphs
- Authors: Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The distance signless Laplacian matrix [math] of a connected graph [math] is defined as [math], where [math] is the distance matrix of [math] and [math] is the diagonal matrix whose main entries are the vertex transmissions of [math], and the spectral radius of a connected graph [math] is the largest eigenvalue of [math]. In this paper, first we obtain the [math]-eigenvalues of the join of certain regular graphs. Next, we give some new bounds on the distance signless Laplacian spectral radius of a graph [math] in terms of graph parameters and characterize the extremal graphs. Utilizing these results we present some upper and lower bounds on the distance signless Laplacian energy of a graph [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:07Z
DOI: 10.1142/S1793557118500663
- Authors: Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi
- Algebra cone generalized [math]-metric space over banach algebra and fixed
point theorems of generalized lipschitz mappings- Authors: Aziz Ahmed, J. N. Salunke
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of algebra cone generalized [math]-metric space over Banach algebra by replacing the constant [math] with [math] where [math] is the spectral radius of [math], with this modification we shall prove Banach and kannan fixed point results for contractive generalized Lipschitz mappings in such a space. Moreover, we present one example in support of our results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:06Z
DOI: 10.1142/S1793557118500687
- Authors: Aziz Ahmed, J. N. Salunke
- Camina Lie algebras
- Authors: S. Sheikh-Mohseni, F. Saeedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Lie algebra and [math] be a proper ideal of [math]. Then [math] is called a Camina pair if [math] for all [math]. Also, [math] is called a Camina Lie algebra if [math] is a Camina pair. In this paper, we give some properties of Camina Lie algebras. Moreover, we show that a nilpotent Camina Lie algebra of finite dimension over an algebraically closed field is nilpotent with nilindex at most [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-13T09:37:14Z
DOI: 10.1142/S1793557118500638
- Authors: S. Sheikh-Mohseni, F. Saeedi
- Tetracyclic graphs with maximum second Zagreb index: A simple approach
- Authors: Akbar Ali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the chemical graph theory, graph invariants are usually referred to as topological indices. The second Zagreb index (denoted by [math]) is one of the most studied topological indices. For [math], let [math] be the collection of all non-isomorphic connected graphs with [math] vertices and [math] edges (such graphs are known as tetracyclic graphs). Recently, Habibi et al. [Extremal tetracyclic graphs with respect to the first and second Zagreb indices, Trans. on Combin. 5(4) (2016) 35–55.] characterized the graph having maximum [math] value among all members of the collection [math]. In this short note, an alternative but relatively simple approach is used for characterizing the aforementioned graph.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-13T09:37:13Z
DOI: 10.1142/S179355711850064X
- Authors: Akbar Ali
- Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces
via Pachpatte’s Inequality- Authors: Kishor D. Kucche, Pallavi U. Shikhare
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, Pachpatte’s inequality is employed to discuss the Ulam–Hyers stabilities for Volterra integrodifferential equations and Volterra delay integrodifferential equations in Banach spaces on both finite and infinite intervals. Examples are given to show the applicability of our obtained results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-29T09:22:37Z
DOI: 10.1142/S1793557118500626
- Authors: Kishor D. Kucche, Pallavi U. Shikhare
- Harmonic curvatures of the strip in Minkowski space
- Authors: Filiz Ertem Kaya, Ayşe Yavuz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This study aimed to give definitions and relations between strip theory and harmonic curvatures of the strip in Minkowski space. Previously, the same was done in Euclidean Space (see [F. Ertem Kaya, Y. Yayli and H. H. Hacısalihoglu, A characterization of cylindrical helix strip, Commun. Fac. Sci. Univ. Ank. Ser. A1 59(2) (2010) 37–51]). The present paper gives for the first time a generic characterization of the harmonic curvatures of the strip, helix strip and inclined strip in Minkowski space.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-26T08:07:14Z
DOI: 10.1142/S1793557118500614
- Authors: Filiz Ertem Kaya, Ayşe Yavuz
- Generalization of cyclic refinements of Jensen inequality by montgomery
identity and Green’s function- Authors: Nasir Mehmood, Saad Ihsan Butt, Josip Pečarić
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We consider discrete and continuous cyclic refinements of Jensen’s inequality and generalize them from convex function to higher order convex function by means of Lagrange Green’s function and Montgomery identity. We give application of our results by formulating the monotonicity of the linear functionals obtained from generalized identities utilizing the theory of inequalities for [math]-convex functions at a point. We compute Grüss and Ostrowski type bounds for generalized identities associated with the obtained inequalities. Finally, we investigate the properties of linear functionals regarding exponential convexity log convexity and mean value theorems.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-26T08:07:13Z
DOI: 10.1142/S1793557118500602
- Authors: Nasir Mehmood, Saad Ihsan Butt, Josip Pečarić
- Cohomology of [math] acting on the space of superpseudodifferential
operators on the supercircle [math]- Authors: Hafedh Khalfoun, Nizar Ben Fraj, Meher Abdaoui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We investigate the first differential cohomology space associated with the embedding of the affine Lie superalgebra [math] on the [math]-dimensional supercircle [math] in the Lie superalgebra [math] of superpseudodifferential operators with smooth coefficients, where [math]. Following Ovsienko and Roger, we give explicit expressions of the basis cocycles. We study the deformations of the structure of the [math]-module [math]. We prove that any formal deformation is equivalent to its infinitesimal part.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:49Z
DOI: 10.1142/S1793557118500572
- Authors: Hafedh Khalfoun, Nizar Ben Fraj, Meher Abdaoui
- On the endomorphism monoids of Clifford semigroups
- Authors: Somnuek Worawiset
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study properties of the endomorphism monoids of strong semilattices of groups. In Sec. [2], several properties for endomorphism monoids of finite semilattices are investigated. In Sec. [3], we collect some results on endomorphism monoids of strong semilattices of groups, i.e. Clifford semigroups.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:49Z
DOI: 10.1142/S1793557118500596
- Authors: Somnuek Worawiset
- The essential ideal graph of a commutative ring
- Authors: J. Amjadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with identity. The essential ideal graph of [math], denoted by [math], is a graph whose vertex set is the set of all nonzero proper ideals of [math] and two vertices [math] and [math] are adjacent whenever [math] is an essential ideal. In this paper, we initiate the study of the essential ideal graph of a commutative ring and we investigate its properties.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:48Z
DOI: 10.1142/S1793557118500584
- Authors: J. Amjadi
- Solution of certain Pell equations
- Authors: Zahid Raza, Hafsa Masood Malik
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be any positive integers such that [math] and [math] is a square free positive integer of the form [math] where [math] and [math] The main focus of this paper is to find the fundamental solution of the equation [math] with the help of the continued fraction of [math] We also obtain all the positive solutions of the equations [math] and [math] by means of the Fibonacci and Lucas sequences. Furthermore, in this work, we derive some algebraic relations on the Pell form [math] including cycle, proper cycle, reduction and proper automorphism of it. We also determine the integer solutions of the Pell equation [math] in terms of [math] We extend all the results of the papers [3, 10, 27, 37].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-17T02:36:01Z
DOI: 10.1142/S1793557118500560
- Authors: Zahid Raza, Hafsa Masood Malik
- Difference analogues of the second main theorem of zero-order meromorphic
mappings for slowly moving targets- Authors: Pham Duc Thoan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in [math] by considering their [math]-Casorati determinant. Our results are [math]-difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of [math] into [math] under the growth condition “order [math]”.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:16Z
DOI: 10.1142/S1793557118500535
- Authors: Pham Duc Thoan
- Engel type identities with generalized derivations in prime rings
- Authors: Basudeb Dhara, Krishna Gopal Pradhan, Shailesh Kumar Tiwari
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a noncommutative prime ring with its Utumi ring of quotients [math], [math] the extended centroid of [math], [math] a generalized derivation of [math] and [math] a nonzero ideal of [math]. If [math] satisfies any one of the following conditions: (i)[math], [math], [math], (ii)[math], where [math] is a fixed integer, then one of the following holds: (1)there exists [math] such that [math] for all [math]; (2)[math] satisfies [math] and there exist [math] and [math] such that [math] for all [math]; (3)char [math], [math] satisfies [math] and there exist [math] and an outer derivation [math] of [math] such that [math] for all [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:16Z
DOI: 10.1142/S1793557118500559
- Authors: Basudeb Dhara, Krishna Gopal Pradhan, Shailesh Kumar Tiwari
- Bounds related to projective equivalence classes of good filtrations
- Authors: Abdoulaye Assane, Damase Kamano, Eric Dago Akeke
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a regular ideal in noetherian ring [math]. Mc Adam and Ratliff showed the existence of the unique minimal reduction number of [math], noted [math], such that for every minimal reduction [math] of [math], [math] and [math]. They showed that the set of integers [math] is bounded in terms of the analytic spread of [math]. Here, we extend these results to good filtrations. Let [math] be a good filtration on [math], we show that the set of integers [math] is bounded.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:15Z
DOI: 10.1142/S1793557118500523
- Authors: Abdoulaye Assane, Damase Kamano, Eric Dago Akeke
- On chaos for iterated function systems
- Authors: Alireza Zamani Bahabadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper is devoted to study some chaotic properties of iterated function systems (IFSs). Specially, a new notion named thick chaotic IFSs is introduced. The relationship between thick chaos and another properties of some notions in dynamical systems are studied.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:15Z
DOI: 10.1142/S1793557118500547
- Authors: Alireza Zamani Bahabadi
- Multiplicative [math]-derivation in alternative algebras
- Authors: M. V. L. Bharathi, K. Jayalakshmi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Every multiplicative [math]-derivation of an alternative algebra [math] is additive if there exits an idempotent [math] in [math] satisfying the following conditions: (i) [math] implies [math]; (ii) [math] implies [math]; (iii) [math] implies [math] for [math]. In particular, every [math]-derivation of a prime alternative algebra with a nontrivial idempotent is additive. This generalizes the known result obtained by Rodrigues, Guzzo and Ferreira for [math]-derivations. As an application, we apply multiplicative [math]-derivation to an alternative complex algebra [math] of all [math] complex matrices to see how it decomposes into a sum of [math]-inner derivation and a [math]-derivation on [math] given by an additive derivation [math] on [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-08T04:14:55Z
DOI: 10.1142/S1793557118500511
- Authors: M. V. L. Bharathi, K. Jayalakshmi
- On [math]-derivations of Filippov algebras
- Authors: F. Saeedi, S. Sheikh-Mohseni
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Filippov algebra. A derivation of [math] is called an [math]-derivation if its image is contained in the derived algebra of [math]. Let [math] be the set of all [math]-derivations which map central elements to [math]. We prove that [math] and [math] are isomorphic for any two isoclinic Filippov algebras [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:17:10Z
DOI: 10.1142/S179355711850050X
- Authors: F. Saeedi, S. Sheikh-Mohseni
- A generalized superposition of linear tree languages and products of
linear tree languages- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A linear tree language of type [math] is a set of linear terms, terms containing no multiple occurrences of the same variable, of that type. Instead of the usual generalized superposition of tree languages, we define the generalized linear superposition to deal with linear tree languages and study its properties. Using this superposition, we define the product of linear tree languages. This product is not associative on the collection of all linear tree languages, but it is associative on some subsets of this collection whose products of any element in the subsets are nonempty. We classify such subsets and study properties of the obtained semigroup especially idempotent elements, regular elements, and Green’s relations [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:16:44Z
DOI: 10.1142/S1793557118500481
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
- Boundedness of composition operators between weighted Bergman spaces
- Authors: Elke Wolf
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper contained mathematical errors and its publication has been retracted from AEJM.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-21T03:41:31Z
DOI: 10.1142/S1793557118500420
- Authors: Elke Wolf
- On irrational Brun-type constants
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper is removed because it was found to be a plagiarism from another published journal paper.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-10T08:32:21Z
DOI: 10.1142/S1793557117500796
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On generalization of weighted Ostrowski type inequalities for functions of
bounded variation- Authors: Huseyin Budak, Mehmet Zeki Sarikaya
Pages: 1 - 11
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, some generalization of weighted Ostrowski type integral inequalities for mappings of bounded variation are obtained and some interesting inequalities as special cases are given.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:17:04Z
DOI: 10.1142/S1793557118500493
- Authors: Huseyin Budak, Mehmet Zeki Sarikaya