فهرست مطالب

Mathematical Sciences and Informatics - Volume:12 Issue: 2, Nov 2017

Iranian Journal of Mathematical Sciences and Informatics
Volume:12 Issue: 2, Nov 2017

  • تاریخ انتشار: 1396/07/22
  • تعداد عناوین: 10
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  • W.-C. Shiu, G.-C. Lau, S.-M. Lee Pages 1-14
    Let $G= (V,E)$ be a $(p,q)$-graph. A bijection $f: Eto{1,2,3,ldots,q }$ is called an edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^(u),f^(v))=1$ where $f^(u) = sum_{uwin E} f(uw)$. Moreover, a bijection $f: Eto{1,2,3,ldots,q }$ is called a semi-edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^(u),f^(v))=1$ or $f^(u)=f^(v)$. A graph that admits an edge-prime (or a semi-edge-prime) labeling is called an edge-prime (or a semi-edge-prime) graph. In this paper we determine the necessary and/or sufficient condition for the existence of (semi-) edge-primality of many family of graphs.
    Keywords: Prime labeling, Edge-prime labeling, Semi-Edge-prime labeling, Bipartite graphs, Tripartite graphs
  • Z. Parsaeitabar, A. R. Nazemi Pages 15-34
    In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first linearize the equation using quasilinearization technique and the resulting problem is solved by a third degree B-spline function. Some numerical examples are included to demonstrate the feasibility and the efficiency of the proposed technique. The method is easy to implement and produces accurate results. The numerical results are also found to be in good agreement with the exact solutions.
    Keywords: B-spline, Collocation method, Lane--Emden equation, Singular IVPs
  • S. Omidi, B. Davvaz Pages 35-49
    In this paper we introduce the concept of Krasner hyperring $(R,,cdot)$together with a suitable partial order relation $le $.xle y$. Also we consider some Krasner hyperrings and define a binary relation on them such that to become ordered Krasner hyperrings. By using the notion of pseudoorder on an ordered Krasner hyperring $(R,,cdot,le)$, we obtain an ordered ring. Moreover, we study some properties of ordered Krasner hyperrings.
    Keywords: Algebraic hyperstructure, Ordered ring, Ordered Krasner hyperring, Strongly regular relation, Pseudoorder
  • M. Masjed-Jamei, A. H. Salehi Shayegan Pages 51-71
    By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.
    Keywords: Riccati differential equations, Adams-Bashforth rules, Weighting factor, Nonlinear differential equations, Stirling numbers
  • M. Alimohammady, M. Ramazannejad, Z. Bagheri, R. J. Shahkoohi Pages 73-99
    In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monotone operators.
    Keywords: Maximal monotone operator, Equilibrium problem, Variational inequality
  • A. Mir, Q.M. Dawood, B. Dar Pages 101-109
    The paper presents an $L^{r}-$ analogue of an inequality regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle of arbitrary radius but greater or equal to one. Our result provides improvements and generalizations of some well-known polynomial inequalities.
    Keywords: Polynomial, Zeros, $s^{th}$ derivative
  • R. Kargar, A. Ebadian, J. Sokol Pages 111-116
    In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
    Keywords: Analytic, Univalent, Starlike functions, Convex functions
  • D. Ayaseh, A. Ranjbari Pages 117-125
    In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally convex complete lattice cone.
    Keywords: Locally convex cones, Egoroff Theorem, Operator valued measure
  • H. Ardakani, S. Modarres Mosadegh Pages 127-139
    By introducing the concepts of order almost Dunford-Pettis and almost weakly limited operators in Banach lattices, we give some properties of them related to some well known classes of operators, such as, order weakly compact, order Dunford-Pettis, weak and almost Dunford- Pettis and weakly limited operators. Then, we characterize Banach lat- tices E and F on which each operator from E into F that is order almost Dunford-Pettis and weak almost Dunford-Pettis is an almost weakly lim- ited operator.
    Keywords: Order Dunford-Pettis operator, Weakly limited operator, Almost Dunford-Pettis set
  • B. Dhara, K.G. Pradhan, Sh.K. Tiwari Pages 141-153
    Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=mp x$ for all $x in R$; item char $(R)=2$ and $R$ satisfies $s_4$;item char $(R) neq 2$, $R$ satisfies $s_4$ and there exists $bin U$ such that $F(x)=bx$ for all $x in R$.
    Keywords: Prime ring, Generalized derivation, Utumi quotient ring