فهرست مطالب

Mathematical Sciences and Informatics - Volume:11 Issue: 2, 2016
  • Volume:11 Issue: 2, 2016
  • تاریخ انتشار: 1395/08/13
  • تعداد عناوین: 11
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  • S. S. Dragomir Pages 1-22
    Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.
    Keywords: Ostrowski's inequality, Jensen's inequality, f, Divergence measures
  • S. Ostadhadi, Dehkordi Pages 23-41
    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.
    Keywords: m, Ary hypervector space, Krasner (m, n), hyperfield, Bundle subsets, Hypernorm
  • H. Harizavi Pages 43-55
    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 $mid Aut(H)mid=1$.
    Keywords: Hyper BCK, algebra, (weak, strong) hyper BCK, ideal, Direct sum of branches, Hyper BCK, chain
  • A. Azizi, J. Saeidian, S. Abdi Pages 57-69
    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.
    Keywords: Ordinary differential equation, Boundary value problem, Singular equations, Legendre wavelet bases
  • F. Nasrollahzadeh, S. M. Hosseini Pages 71-86
    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.
    Keywords: Two, dimensional fractional differential equation, Space, time fractional diffusion equation, Implicit difference method, Alternating directions implicit methods
  • M. Toomanian, M. Amini, A. Heydari Pages 87-96
    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.
    Keywords: Hypergroup, Lie group, Lie hypergroup, Double coset Lie hypergroup, Representations, Smooth (analytic) vectors
  • A. Ashyani, H. R. MÝohammadinejad, O. Rabieimotlagh Pages 97-110
    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.
    Keywords: Tumor, Oncolytic Virus, Stability, Asymptotic Stability
  • A. Ilkhanizadeh Manesh Pages 111-118
    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).
    Keywords: (Strong) linear preserver, Row substochastic matrix, Sut, Majorization
  • A. Razani, R. Moradi Pages 119-130
    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.
    Keywords: Strongly $rho$, contraction, Modular space, Double sequence, Strongly convergence
  • A. Taghavi, R. Hosseinzadeh, H. Rohi Pages 131-137
    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.
    Keywords: Operator algebra, Jordan product, Idempotent
  • B. S. Durgi, H. S. Ramane, P. R. Hampiholi, S. M. Mekkalike Pages 139-148
    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 $K_n$.
    Keywords: Wiener index, Distance, Complete graph, Star graph, Cycle