ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
1
13
EN
E.
Kacar
University of Kahramanmaraş Sütçü İmam
Z.
Kacar
University of Maryland, Department of Statistics
H.
Yildirim
University of Kahramanmaraş Sütçü İmam
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
On the Means of the Values of Prime Counting Function
15
22
EN
M.
Hassani
University of Zanjan
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
On the Notion of Fuzzy Shadowing Property
23
37
EN
M.
Fatehi Nia
Department of Mathematics, Yazd University
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
The e-Theta Hopes
39
50
EN
R.
Mahjoob
Department of Mathematics-Semnan University
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Spectra of Some New Graph Operations and Some New Class of Integral Graphs
51
65
EN
Ch.
Adiga
University of Mysore
B. R.
Rakshith
University of Mysore
K. N.
Subba Krishna
University of Mysore
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
A Graphical Characterization for SPAP-Rings
67
73
EN
E.
Rostami
Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Generalized Approximate Amenability of Direct Sum of Banach Algebras
75
87
EN
H.
Sadeghi
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran.
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$_{mathfrak{A}}(B)$.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
89
96
EN
F.
Dehghani-Zadeh
Islamic Azad University, Yazd Branch
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
A Shorter and Simple Approach to Study Fixed Point Results via b-Simulation Functions
97
102
EN
Gh.
Soleimani Rad
Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia & State University of Novi Pazar, Serbia
D.
Dolicanin-Dekic
Faculty of Technical Sciences, Kneza Miov{s}a 7, 38 220 Kosovska Mitrovica, Serbia
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].
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Atomic Systems in 2-inner Product Spaces
103
110
EN
B.
Dastourian
Department of Pure Mathematics Ferdowsi University of Mashhad
M.
Janfada
Department of Pure Mathematics Ferdowsi University of Mashhad
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
111
129
EN
A.
Shokri
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
H.
Saadat
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
A. R.
Khodadadi
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs
131
138
EN
S. M.
Seyyedi
Amirkabir University of Technology
F.
Rahmati
Amirkabir University of Technology
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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
139
151
EN
J. F.
Rabago
University of the Philippines Baguio
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 [10] but through induction principle. Then, with the solution of the above equation at hand, we prove a case of Sroysang’s conjecture (2013) [9] 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.
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
13
1
2018
5
1
ABSTRACTS IN PERSIAN Vol.13, No.1
153
166
EN
Name of Authors
In This Volume
Iranian Journal of Mathematical Sciences and Informatics
Please see the full text contains the Pesian abstracts for this volume.