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 M‎ohammadinejad 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.