ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 11 2 2016 11 1 m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets. 23 41 EN S. Ostadhadi-Dehkordi DepartmentofMathematics,HormozganUniversity, 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 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 $mid Aut(H)mid=1$.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 J. Saeidian FacultyofMathematicalSciencesandComputer,KharazmiUniversity S. Abdi Departmentofsciencesand engineering,Marivan Branch,Islamic Azad University,M 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 S. M Hosseini Department of Applied Mathematics,Faculty of Mathematical Sciences,Tarbiat Modares University 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 11 2 2016 11 1 Representations of Double Coset Lie Hypergroups 87 96 EN M. Toomanian Islamic Azad University, Karaj-Branch M. Amini Tarbiat Modares University A. Heydari Tarbiat Modares University 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 H. R. M‎ohammadinejad Department of Mathematics, Faculty of Science,University of Birjand,Iran O. RabieiMotlagh Department of Mathematics, Faculty of Science,University of Birjand,Iran 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 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).

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 11 2 2016 11 1 Double Sequence Iterations for Strongly Contractive Mapping in Modular Space 119 130 EN A. Razani Imam Khomeini International University R. Moradi Imam Khomeini INternational University 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 11 2 2016 11 1 Additive Maps Preserving Idempotency of Products or Jordan Products of Operators 131 137 EN A. Taghavi University of Mazandaran R. Hosseinzadeh University of Mazandaran H. Rohi University of Mazandaran 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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. S. Ramane Karnatak University Dharwad, Dharwad, India. R. Hampiholi Gogte Institute of Technology, Belgaum, India. M. Mekkalike KLE College of Engineering and Technology,Chikodi, India. 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 $K_n$.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 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 Please see the full text contains the Pesian abstracts for this volume.