1
1735-4463
ACECR at Tarbiat Modares University
696
Special
Integral Inequalities for h(x)-Riemann-Liouville Fractional Integrals
Kacar
E.
^{
b
}
Kacar
Z.
^{
c
}
Yildirim
H.
^{
d
}
^{
b
}University of Kahramanmaraş Sütçü İmam
^{
c
}University of Maryland, Department of Statistics
^{
d
}University of Kahramanmaraş Sütçü İmam
1
5
2018
13
1
1
13
16
03
2015
17
01
2018
In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.
559
Special
On the Means of the Values of Prime Counting Function
Hassani
M.
^{
e
}
^{
e
}University of Zanjan
1
5
2018
13
1
15
22
15
03
2014
13
02
2018
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.
733
Special
On the Notion of Fuzzy Shadowing Property
Fatehi Nia
M.
^{
f
}
^{
f
}Department of Mathematics, Yazd University
1
5
2018
13
1
23
37
29
05
2015
28
06
2016
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.
744
Special
The e-Theta Hopes
Mahjoob
R.
^{
g
}
^{
g
}Department of Mathematics-Semnan University
1
5
2018
13
1
39
50
27
06
2015
05
01
2016
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.
755
General
Spectra of Some New Graph Operations and Some New Class of Integral Graphs
Adiga
Ch.
^{
h
}
Rakshith
B. R.
^{
i
}
Subba Krishna
K. N.
^{
j
}
^{
h
}University of Mysore
^{
i
}University of Mysore
^{
j
}University of Mysore
1
5
2018
13
1
51
65
23
07
2015
22
10
2017
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.
767
Special
A Graphical Characterization for SPAP-Rings
Rostami
E.
^{
k
}
^{
k
}Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran
1
5
2018
13
1
67
73
05
08
2015
29
06
2016
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.
773
General
Generalized Approximate Amenability of Direct Sum of Banach Algebras
Sadeghi
H.
^{
l
}
^{
l
}Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran.
1
5
2018
13
1
75
87
18
08
2015
23
04
2016
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$_{mathfrak{A}}(B)$.
778
Special
Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
Dehghani-Zadeh
F.
^{
m
}
^{
m
}Islamic Azad University, Yazd Branch
1
5
2018
13
1
89
96
01
09
2015
18
01
2017
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.
971
General
A Shorter and Simple Approach to Study Fixed Point Results via b-Simulation Functions
Soleimani Rad
Gh.
^{
n
}
Radenovic
S.
^{
o
}
Dolicanin-Dekic
D.
^{
p
}
^{
n
}Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
^{
o
}Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia & State University of Novi Pazar, Serbia
^{
p
}Faculty of Technical Sciences, Kneza Miov{s}a 7, 38 220 Kosovska Mitrovica, Serbia
1
5
2018
13
1
97
102
02
11
2016
21
01
2017
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].
780
Special
Atomic Systems in 2-inner Product Spaces
Dastourian
B.
^{
}
Janfada
M.
^{
}
^{
}Department of Pure Mathematics Ferdowsi University of Mashhad
^{
}Department of Pure Mathematics Ferdowsi University of Mashhad
1
5
2018
13
1
103
110
06
09
2015
11
11
2017
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.
785
Special
A New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
Shokri
A.
^{
}
Saadat
H.
^{
}
Khodadadi
A. R.
^{
}
^{
}Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
^{
}Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
^{
}Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
1
5
2018
13
1
111
129
04
10
2015
30
04
2016
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.
788
Special
Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs
Seyyedi
S. M.
^{
}
Rahmati
F.
^{
}
^{
}Amirkabir University of Technology
^{
}Amirkabir University of Technology
1
5
2018
13
1
131
138
12
10
2015
11
06
2016
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.
775
Special
On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
Rabago
J. F.
^{
}
^{
}University of the Philippines Baguio
1
5
2018
13
1
139
151
24
08
2015
25
10
2017
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.
1339
General
ABSTRACTS IN PERSIAN Vol.13, No.1
In This Volume
Name of Authors
^{
}
^{
}Iranian Journal of Mathematical Sciences and Informatics
1
5
2018
13
1
153
166
09
06
2018
09
06
2018
Please see the full text contains the Pesian abstracts for this volume.