2019-10-16T03:36:50+03:30 http://ijmsi.ir/browse.php?mag_id=25&slc_lang=en&sid=1
25-924 2019-10-16 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 On (Semi-) Edge-primality of Graphs W.-C. Shiu wcshiu@hkbu.edu.hk G.-C. Lau geeclau@yahoo.com S.-M. Lee sinminlee@gmail.com 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. Prime labeling Edge-prime labeling Semi-Edge-prime labeling Bipartite graphs Tripartite graphs. 2017 9 01 1 14 http://ijmsi.ir/article-1-924-en.pdf 10.7508/ijmsi.2017.2.001
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations Z. Parsaeitabar parsaee.z@gmail.com A. R. Nazemi nazemi20042003@yahoo.com 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. B-spline Collocation method Lane--Emden equation Singular IVPs. 2017 9 01 15 34 http://ijmsi.ir/article-1-653-en.pdf 10.7508/ijmsi.2017.2.002
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Ordered Krasner Hyperrings S. Omidi omidi.saber@yahoo.com B. Davvaz davvaz@yazd.ac.ir 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. Algebraic hyperstructure Ordered ring Ordered Krasner hyperring Strongly regular relation Pseudoorder. 2017 9 01 35 49 http://ijmsi.ir/article-1-685-en.pdf 10.7508/ijmsi.2017.2.003
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 A Numerical Method For Solving Ricatti Differential Equations M. Masjed-Jamei mmjamei@kntu.ac.ir A. H. Salehi Shayegan ah.salehi@mail.kntu.ac.ir 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. Riccati differential equations Adams-Bashforth rules Weighting factor Nonlinear differential equations Stirling numbers. 2017 9 01 51 71 http://ijmsi.ir/article-1-661-en.pdf 10.7508/ijmsi.2017.2.004
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms M. Alimohammady amohsen@umz.ac.ir M. Ramazannejad m.ramzannezhad@gmail.com Z. Bagheri R. J. Shahkoohi 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. Maximal monotone operator Equilibrium problem Variational inequality. 2017 9 01 73 99 http://ijmsi.ir/article-1-666-en.pdf 10.7508/ijmsi.2017.2.005
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 On the \$s^{th}\$ Derivative of a Polynomial-II A. Mir mabdullah_mir@yahoo.co.in Q.M. Dawood B. Dar darbilal85@ymail.com 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. Polynomial Zeros \$s^{th}\$ derivative 2017 9 01 101 109 http://ijmsi.ir/article-1-690-en.pdf 10.7508/ijmsi.2017.2.006
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Sufficient Inequalities for Univalent Functions R. Kargar rkargar1983@gmail.com A. Ebadian ebadian.ali@gmail.com J. Sokol jsokol@prz.edu.pl In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions. Analytic Univalent Starlike functions Convex functions 2017 9 01 111 116 http://ijmsi.ir/article-1-739-en.pdf 10.7508/ijmsi.2017.2.007
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones D. Ayaseh d_ayaseh@tabrizu.ac.ir A. Ranjbari ranjbari@tabrizu.ac.ir 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. Locally convex cones Egoroff Theorem Operator valued measure. 2017 9 01 117 125 http://ijmsi.ir/article-1-827-en.pdf 10.7508/ijmsi.2017.2.008
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Order Almost Dunford-Pettis Operators on Banach Lattices H. Ardakani halimeh_ardakani@yahoo.com S. M. S. Modarres Mosadegh smodarres@yazd.ac.ir 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. Order Dunford-Pettis operator Weakly limited operator Almost Dunford-Pettis set. 2017 9 01 127 139 http://ijmsi.ir/article-1-697-en.pdf 10.7508/ijmsi.2017.2.009
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 Left Annihilator of Identities Involving Generalized Derivations in Prime Rings B. Dhara basu_dhara@yahoo.com K.G. Pradhan kgp.math@gmail.com Sh.K. Tiwari shaileshiitd84@gmail.com 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\$. Prime ring Generalized derivation Utumi quotient ring. 2017 9 01 141 153 http://ijmsi.ir/article-1-845-en.pdf 10.7508/ijmsi.2017.2.010
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Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2017 12 2 ABSTRACTS IN PERSIAN Vol.12, No.2 Name of Authors In This Volume Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS PERSIAN Vol. 12 No. 2 2017 9 01 155 165 http://ijmsi.ir/article-1-1226-en.pdf