ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications
1
22
EN
S. S.
Dragomir
Mathematics, College of Engineering & Science, Victoria University
Sever.Dragomir@vu.edu.au
10.7508/ijmsi.2016.02.001
Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.
Ostrowski's inequality, Jensen's inequality, f-Divergence measures.
http://ijmsi.ir/article-1-693-en.html
http://ijmsi.ir/article-1-693-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.
23
41
EN
S.
Ostadhadi-Dehkordi
DepartmentofMathematics,HormozganUniversity,
ostadhadi-dehkordi@hotmail.com
10.7508/ijmsi.2016.02.002
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.
m-Ary hypervector space, Krasner (m, n)-hyperfield, Bundle subsets, Hypernorm.
http://ijmsi.ir/article-1-411-en.html
http://ijmsi.ir/article-1-411-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
On Direct Sum of Branches in Hyper BCK-algebras
43
55
EN
H.
Harizavi
Department of Mathematics, Shahid Chamran University
harizavi@scu.ac.ir
10.7508/ijmsi.2016.02.003
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 $mid Aut(H)mid=1$.
Hyper BCK-algebra, (weak, strong) hyper BCK-ideal, Direct sum of branches, Hyper BCK-chain.
http://ijmsi.ir/article-1-441-en.html
http://ijmsi.ir/article-1-441-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
57
69
EN
A.
Azizi
DepartmentofMathematics,PayameNoorUniversityTehran
a.azizi@pnu.ac.ir
J.
Saeidian
FacultyofMathematicalSciencesandComputer,KharazmiUniversity
S.
Abdi
Departmentofsciencesand engineering,Marivan Branch,Islamic Azad University,M
10.7508/ijmsi.2016.02.004
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.
Ordinary differential equation, Boundary value problem, Singular equations, Legendre wavelet bases.
http://ijmsi.ir/article-1-457-en.html
http://ijmsi.ir/article-1-457-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
71
86
EN
F.
Nasrollahzadeh
Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University
f.nasr@modares.ac.ir
S. M
Hosseini
Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University
hossei_m@modares.ac.ir
10.7508/ijmsi.2016.02.005
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.
Two-dimensional fractional differential equation, Space-time fractional diffusion equation, Implicit difference method, Alternating directions implicit methods
http://ijmsi.ir/article-1-492-en.html
http://ijmsi.ir/article-1-492-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Representations of Double Coset Lie Hypergroups
87
96
EN
M.
Toomanian
Islamic Azad University, Karaj-Branch
megerdich.toomanian@kiau.ac.ir
M.
Amini
Tarbiat Modares University
mamini@modares.ac.ir
A.
Heydari
Tarbiat Modares University
aheydari@modares.ac.ir
10.7508/ijmsi.2016.02.006
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.
Hypergroup, Lie group, Lie hypergroup, Double coset Lie hypergroup, Representations, Smooth (analytic) vectors
http://ijmsi.ir/article-1-517-en.html
http://ijmsi.ir/article-1-517-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Stability Analysis of Mathematical Model of Virus Therapy for Cancer
97
110
EN
A.
Ashyani
Department of Mathematics, Faculty of Science,University of Birjand,Iran
a.ashyani@birjand.ac.ir
H. R.
Mâ€Žohammadinejad
Department of Mathematics, Faculty of Science,University of Birjand,Iran
hmohammadin@birjand.ac.ir
O.
RabieiMotlagh
Department of Mathematics, Faculty of Science,University of Birjand,Iran
orabieimotlagh@birjand.ac.ir
10.7508/ijmsi.2016.02.007
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.
Tumor, Oncolytic Virus, Stability, Asymptotic Stability.
http://ijmsi.ir/article-1-541-en.html
http://ijmsi.ir/article-1-541-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Linear Functions Preserving Sut-Majorization on RN
111
118
EN
A.
Ilkhanizadeh Manesh
Department of Mathematics,Vali-e-Asr University of Rafsanjan
a.ilkhani@vru.ac.ir
10.7508/ijmsi.2016.02.008
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).
(Strong) linear preserver, Row substochastic matrix, Sut-Majorization.
http://ijmsi.ir/article-1-549-en.html
http://ijmsi.ir/article-1-549-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Double Sequence Iterations for Strongly Contractive Mapping in Modular Space
119
130
EN
A.
Razani
Imam Khomeini International University
razani@ipm.ir
R.
Moradi
Imam Khomeini INternational University
moradirobabe@yahoo.com
10.7508/ijmsi.2016.02.009
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.
Strongly $rho$-contraction, Modular space, Double sequence, Strongly convergence.
http://ijmsi.ir/article-1-577-en.html
http://ijmsi.ir/article-1-577-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
131
137
EN
A.
Taghavi
University of Mazandaran
taghavi@umz.ac.ir
R.
Hosseinzadeh
University of Mazandaran
ro.hosseinzadeh@umz.ac.ir
H.
Rohi
University of Mazandaran
h.rohi@umz.ac.ir
10.7508/ijmsi.2016.02.010
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.
Operator algebra, Jordan product, Idempotent.
http://ijmsi.ir/article-1-580-en.html
http://ijmsi.ir/article-1-580-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
On the Wiener Index of Some Edge Deleted Graphs
139
148
EN
S.
Durgi
KLE Dr. M. S. Sheshgiri College of Engineering and Technology, Belgaum, India.
durgibs@yahoo.com
S.
Ramane
Karnatak University Dharwad, Dharwad, India.
hsramane@yahoo.com
R.
Hampiholi
Gogte Institute of Technology, Belgaum, India.
prhampi@yahoo.in
M.
Mekkalike
KLE College of Engineering and Technology,Chikodi, India.
sachin.mekkalike4u@gmail.com
10.7508/ijmsi.2016.02.011
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 $K_n$.
Wiener index, Distance, Complete graph, Star graph, Cycle.
http://ijmsi.ir/article-1-701-en.html
http://ijmsi.ir/article-1-701-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
11
2
2016
11
1
ABSTRACTS IN PERSIAN Vol.11,No.2
149
160
EN
Name of Authors
In This Volume
Iranian Journal of Mathematical Sciences and Informatics
fatemeh.bardestani@gmail.com
10.7508/ijmsi.2016.02.012
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 11, No. 2
http://ijmsi.ir/article-1-986-en.html
http://ijmsi.ir/article-1-986-en.pdf