1
1735-4463
ACECR at Tarbiat Modares University
693
General
New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications
Dragomir
S. S.
^{
b
}
^{
b
}Mathematics, College of Engineering & Science, Victoria University
1
11
2016
11
2
1
22
01
03
2015
02
05
2016
Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.
411
Special
m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.
Ostadhadi-Dehkordi
S.
^{
c
}
^{
c
}DepartmentofMathematics,HormozganUniversity,
1
11
2016
11
2
23
41
10
04
2013
14
12
2015
In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed spaces and bundle subset.
441
Special
On Direct Sum of Branches in Hyper BCK-algebras
Harizavi
H.
^{
d
}
^{
d
}Department of Mathematics, Shahid Chamran University
1
11
2016
11
2
43
55
13
06
2013
19
01
2016
In this paper, the notion of direct sum of branches in hks is introduced and some related properties are investigated. Applying this notion to lower hyper $BCK$-semi lattice, a necessary condition for a hi to be prime is given. Some properties of hkc are studied. It is proved that if $H$ is a hkc and $[a)$ is finite for any $ain H$, then $mid Aut(H)mid=1$.
457
General
Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
Azizi
A.
^{
e
}
Saeidian
J.
^{
f
}
Abdi
S.
^{
g
}
^{
e
}DepartmentofMathematics,PayameNoorUniversityTehran
^{
f
}FacultyofMathematicalSciencesandComputer,KharazmiUniversity
^{
g
}Departmentofsciencesand engineering,Marivan Branch,Islamic Azad University,M
1
11
2016
11
2
57
69
02
08
2013
09
05
2015
In this paper Legendre wavelet bases have been used for finding approximate solutions to singular boundary value problems arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large $M$, we use some kind of Tikhonov regularization. Examples from applied sciences are presented to demonstrate the efficiency and accuracy of the method.
492
General
An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
Nasrollahzadeh
F.
^{
h
}
Hosseini
S. M
^{
i
}
^{
h
}Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University
^{
i
}Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University
1
11
2016
11
2
71
86
15
10
2013
06
08
2016
Fractional order diffusion equations are generalizations of classical diffusion equations which are used to model in physics, finance, engineering, etc. In this paper we present an implicit difference approximation by using the alternating directions implicit (ADI) approach to solve the two-dimensional space-time fractional diffusion equation (2DSTFDE) on a finite domain. Consistency, unconditional stability, and therefore first-order convergence of the method are proven. Some numerical examples with
known exact solution are tested, and the behavior of the errors are analyzed to demonstrate the order of convergence of the method.
517
General
Representations of Double Coset Lie Hypergroups
Toomanian
M.
^{
j
}
Amini
M.
^{
k
}
Heydari
A.
^{
l
}
^{
j
}Islamic Azad University, Karaj-Branch
^{
k
}Tarbiat Modares University
^{
l
}Tarbiat Modares University
1
11
2016
11
2
87
96
10
11
2013
23
06
2016
We study the double cosets of a Lie group by a compact Lie subgroup. We show that a Weil formula holds for double coset Lie hypergroups and show that certain representations of the Lie group lift to representations of the double coset Lie hypergroup.
We characterize smooth (analytic) vectors of these lifted representations.
541
Special
Stability Analysis of Mathematical Model of Virus Therapy for Cancer
Ashyani
A.
^{
m
}
Mâ€Žohammadinejad
H. R.
^{
n
}
RabieiMotlagh
O.
^{
o
}
^{
m
}Department of Mathematics, Faculty of Science,University of Birjand,Iran
^{
n
}Department of Mathematics, Faculty of Science,University of Birjand,Iran
^{
o
}Department of Mathematics, Faculty of Science,University of Birjand,Iran
1
11
2016
11
2
97
110
14
01
2014
14
03
2016
In this paper, we have analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations. We gain some conditions for global stability of trivial and interior equilibrium point.
549
Special
Linear Functions Preserving Sut-Majorization on RN
Ilkhanizadeh Manesh
A.
^{
p
}
^{
p
}Department of Mathematics,Vali-e-Asr University of Rafsanjan
1
11
2016
11
2
111
118
17
02
2014
14
12
2015
Suppose $textbf{M}_{n}$ is the vector space of all $n$-by-$n$ real matrices, and let $mathbb{R}^{n}$ be the set of all $n$-by-$1$ real vectors. A matrix $Rin textbf{M}_{n}$ is said to be $textit{row substochastic}$ if it has nonnegative entries and each row sum is at most $1$. For $x$, $y in mathbb{R}^{n}$, it is said that $x$ is $textit{sut-majorized}$ by $y$ (denoted by $ xprec_{sut} y$) if there exists an $n$-by-$n$ upper triangular row substochastic matrix $R$ such that $x=Ry$. In this note, we characterize the linear functions $T$ : $mathbb{R}^n$ $rightarrow$ $mathbb{R}^n$ preserving (resp. strongly preserving) $prec_{sut}$ with additional condition $Te_{1}neq 0$ (resp. no additional conditions).
577
General
Double Sequence Iterations for Strongly Contractive Mapping in Modular Space
Razani
A.
^{
}
Moradi
R.
^{
}
^{
}Imam Khomeini International University
^{
}Imam Khomeini INternational University
1
11
2016
11
2
119
130
08
05
2014
13
08
2016
In this paper, we consider double sequence iteration processes for strongly $rho$-contractive mapping in modular space. It is proved, these sequences, convergence strongly to a fixed point of the strongly $rho$-contractive mapping.
580
Special
Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
Taghavi
A.
^{
}
Hosseinzadeh
R.
^{
}
Rohi
H.
^{
}
^{
}University of Mazandaran
^{
}University of Mazandaran
^{
}University of Mazandaran
1
11
2016
11
2
131
137
19
05
2014
22
06
2016
Let $mathcal{H}$ and $mathcal{K}$ be infinite dimensional Hilbert spaces, while $mathcal{B(H)}$ and $mathcal{B(K)}$ denote the algebras of all linear bounded operators on $mathcal{H}$ and $mathcal{K}$, respectively. We characterize the forms of additive mappings from $mathcal{B(H)}$ into $mathcal{B(K)}$ that preserve the nonzero idempotency of either Jordan products of operators or usual products of operators in both directions.
701
Special
On the Wiener Index of Some Edge Deleted Graphs
Durgi
S.
^{
}
Ramane
S.
^{
}
Hampiholi
R.
^{
}
Mekkalike
M.
^{
}
^{
}KLE Dr. M. S. Sheshgiri College of Engineering and Technology, Belgaum, India.
^{
}Karnatak University Dharwad, Dharwad, India.
^{
}Gogte Institute of Technology, Belgaum, India.
^{
}KLE College of Engineering and Technology,Chikodi, India.
1
11
2016
11
2
139
148
31
03
2015
31
10
2015
The sum of distances between all the pairs of vertices in a connected graph is known as the {it Wiener index} of the graph. In this paper, we obtain the Wiener index of edge complements of stars, complete subgraphs and cycles in $K_n$.
986
General
ABSTRACTS IN PERSIAN Vol.11,No.2
In This Volume
Name of Authors
^{
}
^{
}Iranian Journal of Mathematical Sciences and Informatics
1
11
2016
11
2
149
160
26
11
2016
26
11
2016
Please see the full text contains the Pesian abstracts for this volume.