OTHERS_CITABLE Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral. http://ijmsi.ir/article-1-696-en.pdf 2018-04-18T10:20:15 1 13 Fractional Integral Grüss İnequality Gruss Type Inequalities Riemann-Liouville Fractional Integral. E. Kacar kacarergun@gmail.com 1 University of Kahramanmaraş Sütçü İmam AUTHOR Z. Kacar 2 University of Maryland, Department of Statistics AUTHOR H. Yildirim 3 University of Kahramanmaraş Sütçü İmam AUTHOR
OTHERS_CITABLE On the Means of the Values of Prime Counting Function In this paper, we investigate the means of the values of prime counting function \$pi(x)\$. First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of the ratio of them. http://ijmsi.ir/article-1-559-en.pdf 2018-04-18T10:20:15 15 22 Primes counting function Means of the values of function. M. Hassani mehdi.hassani@znu.ac.ir 1 University of Zanjan AUTHOR
OTHERS_CITABLE On the Notion of Fuzzy Shadowing Property This paper is concerned with the study of fuzzy dynamical systems. Let (X,M,* ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map defined on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved. http://ijmsi.ir/article-1-733-en.pdf 2018-04-18T10:20:15 23 37 Fuzzy metric Fuzzy discrete dynamical systems Fuzzy shadowing Fuzzy ergodic shadowing Fuzzy topological mixing M. Fatehi Nia fatehiniam@yazd.ac.ir 1 Department of Mathematics, Yazd University AUTHOR
OTHERS_CITABLE The e-Theta Hopes The largest class of hyperstructures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyperstructures are used in the Lie-Santilli theory focusing to the hypernumbers, called e-numbers. We present the appropriate e-hyperstuctures which are defined using any map, in the sense the derivative map, called theta-hyperstructures. http://ijmsi.ir/article-1-744-en.pdf 2018-04-18T10:20:15 39 50 Hyperstructures Hv−structures Hopes Theta-structures R. Mahjoob mahjoob@profs.semnan.ac.ir 1 Department of Mathematics-Semnan University AUTHOR
OTHERS_CITABLE Spectra of Some New Graph Operations and Some New Class of Integral Graphs In this paper, we define duplication corona, duplication neighborhood corona and duplication edge corona of two graphs. We compute their adjacency spectrum, Laplacian spectrum and signless Laplacian. As an application, our results enable us to construct infinitely many pairs of cospectral graphs and also integral graphs. http://ijmsi.ir/article-1-755-en.pdf 2018-04-18T10:20:15 51 65 Duplication corona Duplication edge corona Duplication neighborhood corona Cospectral graphs Integral graphs. Ch. Adiga c_adiga@hotmail.com 1 University of Mysore AUTHOR B. R. Rakshith ranmsc08@yahoo.co.in 2 University of Mysore AUTHOR K. N. Subba Krishna sbbkrishna@gmail.com 3 University of Mysore AUTHOR
OTHERS_CITABLE A Graphical Characterization for SPAP-Rings Let \$R\$ be a commutative ring and \$I\$ an ideal of \$R\$. The zero-divisor graph of \$R\$ with respect to \$I\$, denoted by \$Gamma_I(R)\$, is the simple graph whose vertex set is \${x in Rsetminus I mid xy in I\$, for some \$y in Rsetminus I}\$, with two distinct vertices \$x\$ and \$y\$ are adjacent if and only if \$xy in I\$. In this paper, we state a relation between zero-divisor graph of \$R\$ with respect to an ideal and almost prime ideals of \$R\$. We then use this result to give a graphical characterization for \$SPAP\$-rings. http://ijmsi.ir/article-1-767-en.pdf 2018-04-18T10:20:15 67 73 SPAP-Ring Almost prime ideal Zero-divisor graph with respect to an ideal E. Rostami e_rostami@uk.ac.ir 1 Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran AUTHOR
OTHERS_CITABLE Generalized Approximate Amenability of Direct Sum of Banach Algebras In the present paper for two \$mathfrak{A}\$-module Banach algebras \$A\$ and \$B\$, we investigate relations between \$varphi\$-\$mathfrak{A}\$-module approximate amenability of \$A\$, \$psi\$-\$mathfrak{A}\$-module approximate amenability of \$B\$, and \$varphioplus psi\$-\$mathfrak{A}\$-module approximate amenability of \$Aoplus B\$ (\$l^1\$-direct sum of \$A\$ and \$B\$), where \$varphiin\$ Hom\$_{mathfrak{A}}(A)\$ and \$psiin\$ Hom\$_{mathfrak{A}}(B)\$. http://ijmsi.ir/article-1-773-en.pdf 2018-04-18T10:20:15 75 87 Banach algebra Module derivation Module approximate amenability. H. Sadeghi sadeghi@sci.ui.ac.ir 1 Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran. AUTHOR
OTHERS_CITABLE Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and the Serre subcategories of the category of modules. We characterize the membership of local cohomology modules in a certain Serre subcategory from lower range or upper range. http://ijmsi.ir/article-1-778-en.pdf 2018-04-18T10:20:15 89 96 Local cohomology modules Pair of ideals Serre subcategory F. Dehghani-Zadeh fdzadeh@gmail.com 1 Islamic Azad University, Yazd Branch AUTHOR
OTHERS_CITABLE A Shorter and Simple Approach to Study Fixed Point Results via b-Simulation Functions The purpose of this short note is to consider much shorter and nicer proofs about fixed point results on b-metric spaces via b-simulation function introduced very recently by Demma et al. [M. Demma, R. Saadati, P. Vetro, emph{Fixed point results on b-metric space via Picard sequences and b-simulation functions}, Iranian J. Math. Sci. Infor. 11 (1) (2016) 123--136]. http://ijmsi.ir/article-1-971-en.pdf 2018-04-18T10:20:15 97 102 b-Metric space b-Simulation function Cauchy sequence Lower semi-continuous Gh. Soleimani Rad gha.soleimani.sci@iauctb.ac.ir 1 Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran AUTHOR S. Radenovic radens@beotel.net 2 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia & State University of Novi Pazar, Serbia AUTHOR D. Dolicanin-Dekic diana.dolicanin@pr.ac.rs 3 Faculty of Technical Sciences, Kneza Miov{s}a 7, 38 220 Kosovska Mitrovica, Serbia AUTHOR
OTHERS_CITABLE Atomic Systems in 2-inner Product Spaces In this paper, we introduce the concept of family of local atoms in a 2-inner product space and then this concept is generalized to an atomic system. Besides, a characterization of an atomic system lead to obtain a new frame. Actually this frame is a generalization of previous works. http://ijmsi.ir/article-1-780-en.pdf 2018-04-18T10:20:15 103 110 2-inner product space 2-norm space Family of local atoms Atomic system Frame. B. Dastourian 1 Department of Pure Mathematics Ferdowsi University of Mashhad AUTHOR M. Janfada 2 Department of Pure Mathematics Ferdowsi University of Mashhad AUTHOR
OTHERS_CITABLE A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schr¨odinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant literature and the references here). In this paper we study the closed Newton-Cotes formulae and we write them as symplectic multilayer structures. Based on the closed Newton-Cotes formulae, we also develop trigonometrically-fitted symplectic methods. An error analysis for the onedimensional Schrodinger equation of the new developed methods and a comparison with previous developed methods is also given. We apply the new symplectic schemes to the well-known radial Schr¨odinger equation in order to investigate the efficiency of the proposed method to these type of problems. http://ijmsi.ir/article-1-785-en.pdf 2018-04-18T10:20:15 111 129 Phase-lag Schrodinger equation Numerical solution Newton-Cotes formulae Derivative A. Shokri shokri@maragheh.ac.ir 1 Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran AUTHOR H. Saadat hosein67saadat@yahoo.com 2 Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran AUTHOR A. R. Khodadadi ali_reza_khodadadi@yahoo.com 3 Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran AUTHOR
OTHERS_CITABLE Some Algebraic and Combinatorial Properties of the Complete \$T\$-Partite Graphs In this paper, we characterize the shellable complete \$t\$-partite graphs. We also show for these types of graphs the concepts vertex decomposable, shellable and sequentially Cohen-Macaulay are equivalent. Furthermore, we give a combinatorial condition for the Cohen-Macaulay complete \$t\$-partite graphs. http://ijmsi.ir/article-1-788-en.pdf 2018-04-18T10:20:15 131 138 Cohen-Macaulay shellable vertex decomposable edge ideal S. M. Seyyedi 1 Amirkabir University of Technology AUTHOR F. Rahmati frahmati@aut.ac.ir 2 Amirkabir University of Technology AUTHOR
OTHERS_CITABLE On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture The purpose of this paper is twofold. First we derive theoretically, using appropriate transformation on x(n), the closed-form solution of the nonlinear difference equation x(n+1) = 1/(±1 + x(n)), n ∈ N_0. The form of solution of this equation, however, was first obtained in  but through induction principle. Then, with the solution of the above equation at hand, we prove a case of Sroysang’s conjecture (2013)  i.e., given a fixed positive integer k, we verify the validity of the following claim: lim x→∞ f(x + k)/f(x) = φ, where φ = (1 + √5)/2 denotes the well-known golden ratio and the real valued function f on R satisfies the functional equation f(x + 2k) =f(x + k) + f(x) for every x ∈ R. We complete the proof of the conjecture by giving out an entirely different approach for the other case. http://ijmsi.ir/article-1-775-en.pdf 2018-04-18T10:20:15 139 151 Golden ratio Fibonacci functional equation Horadam functional equation convergence. J. F. Rabago jfrabago@gmail.com 1 University of the Philippines Baguio AUTHOR
OTHERS_CITABLE ABSTRACTS IN PERSIAN Vol.13, No.1 Please see the full text contains the Pesian abstracts for this volume. http://ijmsi.ir/article-1-1339-en.pdf 2018-06-09T10:20:15 153 166 ABSTRACTS PERSIAN Vol. 13 No. 1 Name of Authors In This Volume fatemeh.bardestani@gmail.com 1 Iranian Journal of Mathematical Sciences and Informatics AUTHOR