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1 2 3 4 | Last

 Bulletin of the Malaysian Mathematical Sciences Society   [SJR: 0.614]   [H-I: 14]   [0 followers]  Follow         Hybrid journal (It can contain Open Access articles)    ISSN (Print) 0126-6705 - ISSN (Online) 2180-4206    Published by Springer-Verlag  [2352 journals]
• Normal Criteria for Family Meromorphic Functions Sharing Holomorphic
Function
• Authors: Nguyen Van Thin
Pages: 1413 - 1442
Abstract: Abstract In this paper, we study the value distribution of differential polynomial with the form $$f^n(f^{n_1})^{(t_1)}\dots (f^{n_k})^{(t_k)},$$ where f is a transcendental meromorphic function. Namely, we prove that $$f^n(f^{n_1})^{(t_1)}\dots (f^{n_k})^{(t_k)}-P(z)$$ has infinitely zeros, where P(z) is a nonconstant polynomial and $$n\in {\mathbb {N}},$$ $$k, n_1, \dots , n_k, t_1, \dots , t_k$$ are positive integer numbers satisfying $$n+\sum _{v}^{k}n_v\ge \sum _{v=1}^{k}t_v+3.$$ Using it, we establish some normality criterias for family of meromorphic functions under a condition where differential polynomials generated by the members of the family share a holomorphic function with zero points. Our results generalize some previous results on normal family of meromorphic functions.
PubDate: 2017-10-01
DOI: 10.1007/s40840-017-0492-x
Issue No: Vol. 40, No. 4 (2017)

• Mixed Roman Domination in Graphs
• Authors: H. Abdollahzadeh Ahangar; Teresa W. Haynes; J. C. Valenzuela-Tripodoro
Pages: 1443 - 1454
Abstract: Abstract Let $$G = (V, E)$$ be a simple graph with vertex set V and edge set E. A mixed Roman dominating function (MRDF) of G is a function $$f: V\cup E\rightarrow \{0,1,2\}$$ satisfying the condition every element $$x\in V\cup E$$ for which $$f(x)= 0$$ is adjacent or incident to at least one element $$y\in V\cup E$$ for which $$f(y) = 2$$ . The weight of a MRDF f is $$\omega (f)=\sum _{x\in V\cup E}f(x)$$ . The mixed Roman domination number of G is the minimum weight of a mixed Roman dominating function of G. In this paper, we initiate the study of the mixed Roman domination number and we present bounds for this parameter. We characterize the graphs attaining an upper bound and the graphs having small mixed Roman domination numbers.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0141-1
Issue No: Vol. 40, No. 4 (2017)

• Additive Results for the Generalized Drazin Inverse in a Banach Algebra
• Authors: Dijana Mosić
Pages: 1465 - 1478
Abstract: Abstract Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$ . As an application of our results, we present new representations for the generalized Drazin inverse of a block matrix in a Banach algebra.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0143-z
Issue No: Vol. 40, No. 4 (2017)

• Approximation of q -Stancu-Beta Operators Which Preserve $$x^2$$ x 2
• Authors: M. Mursaleen; Khursheed J. Ansari
Pages: 1479 - 1491
Abstract: Abstract In this paper, we study some approximation properties of q-analogue of Stancu-Beta operators which preserve $$x^{2}$$ . We determine the rate of global convergence in weighted spaces. We also prove the Voronovskaja-type theorem for these operators.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0146-9
Issue No: Vol. 40, No. 4 (2017)

• A Modified Method for a Cauchy Problem of the Helmholtz Equation
• Authors: Haihua Qin; Jingmei Lu
Pages: 1493 - 1522
Abstract: Abstract In this paper, a Cauchy problem for the Helmholtz equation is investigated. It is well known that this problem is severely ill-posed in the sense that the solution (if it exists) does not depend continuously on the given Cauchy data. To overcome such difficulties, we propose a modified regularization method to approximate the solution of this problem, and then analyze the stability and convergence of the proposed regularization method based on the conditional stability estimates. Finally, we present two numerical examples to illustrate that the proposed regularization method works well.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0148-7
Issue No: Vol. 40, No. 4 (2017)

• An Application of Variational Approach to Delay Hamiltonian Systems on
Time Scales with Impulses
• Authors: Jianwen Zhou; Yongkun Li; Yanning Wang
Pages: 1523 - 1543
Abstract: Abstract In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of periodic solutions for a class of delay Hamiltonian systems on time scales with impulsive effects. The variational principle is given, and some existence theorems and two multiplicity results of periodic solutions are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results. Our results are new even in both the differential equations case and the difference equations case.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0149-6
Issue No: Vol. 40, No. 4 (2017)

• Characterizing Maximal Non-Mori Subrings of an Integral Domain
• Authors: Noômen Jarboui; Manar El Islam Toumi
Pages: 1545 - 1557
Abstract: Abstract The main purpose of this paper is to study maximal non-Mori subrings R of a domain S. We give characterizations of such domains in several cases. If the ring R is semilocal, (R, S) is a normal pair, and R is a maximal non-Mori subring of S, we give sharp upper bounds for the number of rings and the length of chains of rings in [R, S], the set of intermediate rings.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0150-0
Issue No: Vol. 40, No. 4 (2017)

• A Conformal Connection on Null Hypersurfaces of Indefinite Kenmotsu
Manifolds
• Authors: Fortuné Massamba
Pages: 1559 - 1575
Abstract: Abstract In this paper, our main remark is that proper totally contact umbilical integral manifolds of screen integrable null hypersurfaces in indefinite Kenmotsu manifolds admit $$\eta$$ -Weyl structures. Its geometry is closely related to the one of a normal subbundle over the indefinite Kenmotsu manifold.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0152-y
Issue No: Vol. 40, No. 4 (2017)

• Multiple Solutions of Neumann Problems: An Orlicz–Sobolev Space
Setting
• Authors: Ghasem A. Afrouzi; Vicenţiu D. Rădulescu; Saeid Shokooh
Pages: 1591 - 1611
Abstract: Abstract In the present paper, we establish the range of two parameters for which a non-homogeneous boundary value problem admits at least three weak solutions. The proof of the main results relies on recent variational principles due to Ricceri.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0153-x
Issue No: Vol. 40, No. 4 (2017)

• Nice Operators into G -Spaces
• Authors: Ana M. Cabrera-Serrano; Juan F. Mena-Jurado
Pages: 1613 - 1621
Abstract: Abstract G-spaces are a class of $$L_1$$ -preduals introduced by Grothendieck. We prove that if every extreme operator from any Banach space into a G-space, X, is a nice operator (that is, its adjoint preserves extreme points), then X is isometrically isomorphic to $$c_0(I)$$ for some set I. One of the main points in the proof is a characterization of spaces of type $$c_0(I)$$ by means of the structure topology on the extreme points of the dual space.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0155-8
Issue No: Vol. 40, No. 4 (2017)

• On $$\eta$$ η -Einstein Para- S -manifolds
• Authors: Luis M. Fernández; A. Prieto-Martín
Pages: 1623 - 1637
Abstract: Abstract We introduce para-S-manifolds and obtain some results concerning the curvature of these manifolds. In particular, we prove that there does not exist Einstein para-S-manifold, and consequently, we investigate $$\eta$$ -Einstein para-S-manifolds and the conditions for them to be $$\xi$$ -conformally flat.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0156-7
Issue No: Vol. 40, No. 4 (2017)

• Factorization of Operators Through Orlicz Spaces
• Authors: M. Mastyło; E. A. Sánchez Pérez
Pages: 1653 - 1675
Abstract: Abstract We study factorization of operators between quasi-Banach spaces. We prove the equivalence between certain vector norm inequalities and the factorization of operators through Orlicz spaces. As a consequence, we obtain the Maurey–Rosenthal factorization of operators into $$L_p$$ -spaces. We give several applications. In particular, we prove a variant of Maurey’s Extension Theorem.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0158-5
Issue No: Vol. 40, No. 4 (2017)

• Inequalities Concerning the Polar Derivative of a Polynomial
• Authors: Suhail Gulzar; N. A. Rather
Pages: 1691 - 1700
Abstract: Abstract In this paper, certain refinements and generalizations of some inequalities concerning the polynomials and their polar derivative are obtained.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0183-4
Issue No: Vol. 40, No. 4 (2017)

• Well-Posedness of the Split Inverse Variational Inequality Problem
• Authors: Rong Hu; Ya Ping Fang
Pages: 1733 - 1744
Abstract: Abstract The aim of this paper is to study the well-posedness of the split inverse variational inequality problem. We extend the notion of well-posedness to the split inverse variational inequality problem and establish Furi–Vignoli-type characterizations for the well-posedness. We prove that the well-posedness of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0213-2
Issue No: Vol. 40, No. 4 (2017)

• Centers of Path Algebras, Cohn and Leavitt Path Algebras
• Authors: María G. Corrales García; Dolores Martín Barquero; Cándido Martín González; Mercedes Siles Molina; José F. Solanilla Hernández
Pages: 1745 - 1767
Abstract: Abstract This paper is devoted to the study of the center of several types of path algebras associated to a graph E over a field K. First we consider the path algebra KE and prove that if the number of vertices is infinite then the center is zero; otherwise, it is K, except when the graph E is a cycle in which case the center is K[x], the polynomial algebra in one indeterminate. Then we compute the centers of prime Cohn and Leavitt path algebras. A lower and an upper bound for the center of a Leavitt path algebra are given by introducing the graded Baer radical for graded algebras. In the final section we describe the center of a prime graph C $$^*$$ -algebra for a row-finite graph.
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0214-1
Issue No: Vol. 40, No. 4 (2017)

• More on the Colorful Monochromatic Connectivity
• Authors: Ran Gu; Xueliang Li; Zhongmei Qin; Yan Zhao
Pages: 1769 - 1779
Abstract: Abstract An edge-coloring of a connected graph is a monochromatically-connecting coloring (MC-coloring, for short) if there is a monochromatic path joining any two vertices, which was introduced by Caro and Yuster. Let mc(G) denote the maximum number of colors used in an MC-coloring of a graph G. Note that an MC-coloring does not exist if G is not connected, in which case we simply let $$mc(G)=0$$ . In this paper, we characterize all connected graphs of size m with $$mc(G)=1, 2, 3, 4$$ , $$m-1$$ , $$m-2$$ and $$m-3$$ , respectively. We use G(n, p) to denote the Erdős-Rényi random graph model, in which each of the $$\left( {\begin{array}{c}n\\ 2\end{array}}\right)$$ pairs of vertices appears as an edge with probability p independent from other pairs. For any function f(n) satisfying $$1\le f(n)<\frac{1}{2}n(n-1)$$ , we show that if $$\ell n \log n\le f(n)<\frac{1}{2}n(n-1)$$ , where $$\ell \in \mathbb {R}^+$$ , then $$p=\frac{f(n)+n\log \log n}{n^2}$$ is a sharp threshold function for the property $$mc\left( G\left( n,p\right) \right) \ge f(n)$$ ; if $$f(n)=o(n\log n)$$ , then $$p=\frac{\log n}{n}$$ is a sharp threshold function for the property $$mc\left( G\left( n,p\right) \right) \ge f(n)$$ .
PubDate: 2017-10-01
DOI: 10.1007/s40840-015-0274-2
Issue No: Vol. 40, No. 4 (2017)

• Toeplitz Matrices Whose Elements are the Coefficients of Starlike and
Close-to-Convex Functions
• Authors: D. K. Thomas; S. Abdul Halim
Pages: 1781 - 1790
Abstract: Abstract Let f be analytic in $$D=\{z: z < 1\}$$ with $$f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$$ . Suppose that $$S^*$$ is the class of starlike functions, and K is the class of close-to-convex functions. The paper instigates a study of finding estimates for Toeplitz determinants whose elements are the coefficients $$a_{n}$$ for f in $$S^*$$ and K.
PubDate: 2017-10-01
DOI: 10.1007/s40840-016-0385-4
Issue No: Vol. 40, No. 4 (2017)

• Some Applications of Nunokawa’s Lemma
• Authors: Mamoru Nunokawa; Janusz Sokół; Nak Eun Cho
Pages: 1791 - 1800
Abstract: Abstract The purpose of the present paper is to prove a geometric property for analytic functions p in the open unit disk with $$p(0)=1$$ by using Nunokawa’s result, which is a generalized form of well-known Jack’s lemma. This property concerns a boundary behavior of the functions p. As the applications of the main result, we obtain a few corollaries where several sufficient conditions for p to be of the real part greater than a given number $$\beta \ (0\le \beta <1)$$ are also investigated.
PubDate: 2017-10-01
DOI: 10.1007/s40840-016-0398-z
Issue No: Vol. 40, No. 4 (2017)

• Moufang Loops of Odd order $$p^4q^3$$ p 4 q 3
Pages: 1817 - 1828
Abstract: Abstract It is known that all Moufang loops of order $$p^4$$ are associative if p is a prime greater than 3. Also, nonassociative Moufang loops of order $$p^5$$ (for all primes p) and $$pq^3$$ (for distinct odd primes p and q, with the necessary and sufficient condition $$q\equiv 1({\text{ mod }}\ p)$$ ) have been proved to exist. Consider a Moufang loop L of order $$p^{\alpha }q^{\beta }$$ where p and q are odd primes with $$p<q$$ , $$q\not \equiv 1 ({\text{ mod }}\ p)$$ and $$\alpha ,\beta \in {\mathbb {Z}}^+$$ . It has been proved that L is associative if $$\alpha \le 3$$ and $$\beta \le 3$$ . In this paper, we extend this result to the case $$p>3$$ , $$\alpha \le 4$$ and $$\beta \le 3$$ .
PubDate: 2017-10-01
DOI: 10.1007/s40840-017-0471-2
Issue No: Vol. 40, No. 4 (2017)

• Multilinear Commutators of Singular Integral Operators in Variable
Exponent Herz-Type Spaces
• Authors: Liwei Wang; Lisheng Shu
Abstract: Abstract In this paper, we study the boundedness of multilinear commutators of Hardy–Littlewood maximal operators in variable exponent Herz and Herz–Morrey spaces, which in turn are used to obtain the boundedness for a large class of the multilinear commutators related to sublinear operators. Moreover, based on the atomic decomposition and on generalization of the BMO norm, we study the boundedness of multilinear commutators of singular integral operators with Calderón–Zygmund kernels in variable exponent Herz-type Hardy spaces.
PubDate: 2017-10-09
DOI: 10.1007/s40840-017-0554-0

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