2019-07-21T13:59:33+04:30
http://ijmsi.ir/browse.php?mag_id=26&slc_lang=en&sid=1
26-696
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
E.
Kacar
kacarergun@gmail.com
Z.
Kacar
H.
Yildirim
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
Fractional Integral
Grüss İnequality
Gruss Type Inequalities
Riemann-Liouville Fractional Integral.
2018
5
01
1
13
http://ijmsi.ir/article-1-696-en.pdf
26-559
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
On the Means of the Values of Prime Counting Function
M.
Hassani
mehdi.hassani@znu.ac.ir
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.
Primes counting function
Means of the values of function.
2018
5
01
15
22
http://ijmsi.ir/article-1-559-en.pdf
26-733
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
On the Notion of Fuzzy Shadowing Property
M.
Fatehi Nia
fatehiniam@yazd.ac.ir
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.
Fuzzy metric
Fuzzy discrete dynamical systems
Fuzzy shadowing
Fuzzy ergodic shadowing
Fuzzy topological mixing
2018
5
01
23
37
http://ijmsi.ir/article-1-733-en.pdf
26-744
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
The e-Theta Hopes
R.
Mahjoob
mahjoob@profs.semnan.ac.ir
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.
Hyperstructures
Hv−structures
Hopes
Theta-structures
2018
5
01
39
50
http://ijmsi.ir/article-1-744-en.pdf
26-755
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Spectra of Some New Graph Operations and Some New Class of Integral Graphs
Ch.
Adiga
c_adiga@hotmail.com
B. R.
Rakshith
ranmsc08@yahoo.co.in
K. N.
Subba Krishna
sbbkrishna@gmail.com
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.
Duplication corona
Duplication edge corona
Duplication neighborhood corona
Cospectral graphs
Integral graphs.
2018
5
01
51
65
http://ijmsi.ir/article-1-755-en.pdf
26-767
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
A Graphical Characterization for SPAP-Rings
E.
Rostami
e_rostami@uk.ac.ir
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.
SPAP-Ring
Almost prime ideal
Zero-divisor graph with respect to an ideal
2018
5
01
67
73
http://ijmsi.ir/article-1-767-en.pdf
26-773
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Generalized Approximate Amenability of Direct Sum of Banach Algebras
H.
Sadeghi
sadeghi@sci.ui.ac.ir
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$_{mathfrak{A}}(B)$.
Banach algebra
Module derivation
Module approximate amenability.
2018
5
01
75
87
http://ijmsi.ir/article-1-773-en.pdf
26-778
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
F.
Dehghani-Zadeh
fdzadeh@gmail.com
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.
Local cohomology modules
Pair of ideals
Serre subcategory
2018
5
01
89
96
http://ijmsi.ir/article-1-778-en.pdf
26-971
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
A Shorter and Simple Approach to Study Fixed Point Results via b-Simulation Functions
Gh.
Soleimani Rad
gha.soleimani.sci@iauctb.ac.ir
S.
Radenovic
radens@beotel.net
D.
Dolicanin-Dekic
diana.dolicanin@pr.ac.rs
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].
b-Metric space
b-Simulation function
Cauchy sequence
Lower semi-continuous
2018
5
01
97
102
http://ijmsi.ir/article-1-971-en.pdf
26-780
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Atomic Systems in 2-inner Product Spaces
B.
Dastourian
M.
Janfada
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.
2-inner product space
2-norm space
Family of local atoms
Atomic system
Frame.
2018
5
01
103
110
http://ijmsi.ir/article-1-780-en.pdf
26-785
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
A.
Shokri
shokri@maragheh.ac.ir
H.
Saadat
hosein67saadat@yahoo.com
A. R.
Khodadadi
ali_reza_khodadadi@yahoo.com
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.
Phase-lag
Schrodinger equation
Numerical solution
Newton-Cotes formulae
Derivative
2018
5
01
111
129
http://ijmsi.ir/article-1-785-en.pdf
26-788
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs
S. M.
Seyyedi
F.
Rahmati
frahmati@aut.ac.ir
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.
Cohen-Macaulay
shellable
vertex decomposable
edge ideal
2018
5
01
131
138
http://ijmsi.ir/article-1-788-en.pdf
26-775
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
J. F.
Rabago
jfrabago@gmail.com
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.
Golden ratio
Fibonacci functional equation
Horadam functional equation
convergence.
2018
5
01
139
151
http://ijmsi.ir/article-1-775-en.pdf
26-1339
2019-07-21
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2018
13
1
ABSTRACTS IN PERSIAN Vol.13, No.1
Name of Authors
In This Volume
fatemeh.bardestani@gmail.com
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS
PERSIAN
Vol. 13
No. 1
2018
5
01
153
166
http://ijmsi.ir/article-1-1339-en.pdf