2019-10-15T11:11:12+03:30
http://ijmsi.ir/browse.php?mag_id=23&slc_lang=en&sid=1
23-693
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications
S. S.
Dragomir
Sever.Dragomir@vu.edu.au
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.
2016
11
01
1
22
http://ijmsi.ir/article-1-693-en.pdf
10.7508/ijmsi.2016.02.001
23-411
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.
S.
Ostadhadi-Dehkordi
ostadhadi-dehkordi@hotmail.com
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.
2016
11
01
23
41
http://ijmsi.ir/article-1-411-en.pdf
10.7508/ijmsi.2016.02.002
23-441
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
On Direct Sum of Branches in Hyper BCK-algebras
H.
Harizavi
harizavi@scu.ac.ir
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.
2016
11
01
43
55
http://ijmsi.ir/article-1-441-en.pdf
10.7508/ijmsi.2016.02.003
23-457
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Applying Legendre Wavelet Method with Regularization for a Class of Singular Boundary Value Problems
A.
Azizi
a.azizi@pnu.ac.ir
J.
Saeidian
S.
Abdi
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.
2016
11
01
57
69
http://ijmsi.ir/article-1-457-en.pdf
10.7508/ijmsi.2016.02.004
23-492
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
F.
Nasrollahzadeh
f.nasr@modares.ac.ir
S. M
Hosseini
hossei_m@modares.ac.ir
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
2016
11
01
71
86
http://ijmsi.ir/article-1-492-en.pdf
10.7508/ijmsi.2016.02.005
23-517
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Representations of Double Coset Lie Hypergroups
M.
Toomanian
megerdich.toomanian@kiau.ac.ir
M.
Amini
mamini@modares.ac.ir
A.
Heydari
aheydari@modares.ac.ir
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
2016
11
01
87
96
http://ijmsi.ir/article-1-517-en.pdf
10.7508/ijmsi.2016.02.006
23-541
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Stability Analysis of Mathematical Model of Virus Therapy for Cancer
A.
Ashyani
a.ashyani@birjand.ac.ir
H. R.
Mâ€Žohammadinejad
hmohammadin@birjand.ac.ir
O.
RabieiMotlagh
orabieimotlagh@birjand.ac.ir
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.
2016
11
01
97
110
http://ijmsi.ir/article-1-541-en.pdf
10.7508/ijmsi.2016.02.007
23-549
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Linear Functions Preserving Sut-Majorization on RN
A.
Ilkhanizadeh Manesh
a.ilkhani@vru.ac.ir
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.
2016
11
01
111
118
http://ijmsi.ir/article-1-549-en.pdf
10.7508/ijmsi.2016.02.008
23-577
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Double Sequence Iterations for Strongly Contractive Mapping in Modular Space
A.
Razani
razani@ipm.ir
R.
Moradi
moradirobabe@yahoo.com
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.
2016
11
01
119
130
http://ijmsi.ir/article-1-577-en.pdf
10.7508/ijmsi.2016.02.009
23-580
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
A.
Taghavi
taghavi@umz.ac.ir
R.
Hosseinzadeh
ro.hosseinzadeh@umz.ac.ir
H.
Rohi
h.rohi@umz.ac.ir
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.
2016
11
01
131
137
http://ijmsi.ir/article-1-580-en.pdf
10.7508/ijmsi.2016.02.010
23-701
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
On the Wiener Index of Some Edge Deleted Graphs
S.
Durgi
durgibs@yahoo.com
S.
Ramane
hsramane@yahoo.com
R.
Hampiholi
prhampi@yahoo.in
M.
Mekkalike
sachin.mekkalike4u@gmail.com
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.
2016
11
01
139
148
http://ijmsi.ir/article-1-701-en.pdf
10.7508/ijmsi.2016.02.011
23-986
2019-10-15
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2016
11
2
ABSTRACTS IN PERSIAN Vol.11,No.2
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. 11
No. 2
2016
11
01
149
160
http://ijmsi.ir/article-1-986-en.pdf
10.7508/ijmsi.2016.02.012