2019-11-22T04:22:00+03:30 http://ijmsi.ir/browse.php?mag_id=27&slc_lang=en&sid=1
27-823 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations Ph. Inpoonjai phaisatcha_in@outlook.com T. Jiarasuksakun thiradet.jia@mail.kmutt.ac.th A graph is called supermagic if there is a labeling of edges where the edges are labeled with consecutive distinct positive integers such that the sum of the labels of all edges incident with any vertex is constant. A graph G is called degree-magic if there is a labeling of the edges by integers 1, 2, ..., |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal to (1+|E(G)|)deg(v)/2. Degree-magic graphs extend supermagic regular graphs. In this paper we find the necessary and sufficient conditions for the existence of balanced degree-magic labelings of graphs obtained by taking the join, composition, Cartesian product, tensor product and strong product of complete bipartite graphs. Complete bipartite graphs Supermagic graphs Degree-magic graphs Balanced degree-magic graphs. 2018 10 01 1 13 http://ijmsi.ir/article-1-823-en.pdf
27-729 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 New Approaches to Duals of Fourier-like Systems E. Osgooei e.osgooei@uut.ac.ir ‎The sequences of the form \${E_{mb}g_{n}}_{m‎, ‎ninmathbb{Z}}\$,‎ ‎where \$E_{mb}\$ is the modulation operator‎, ‎\$b>0\$ and \$g_{n}\$ is the‎ ‎window function in \$L^{2}(mathbb{R})\$‎, ‎construct Fourier-like‎ ‎systems‎. ‎We try to consider some sufficient conditions on the window‎ ‎functions of Fourier-like systems‎, ‎to make a frame and find a dual‎ ‎frame with the same structure‎. ‎We also extend the given two Bessel‎ ‎Fourier-like systems to make a pair of dual frames and prove that‎ ‎the window functions of Fourier-like Bessel sequences share the‎ ‎compactly supported property with their extensions‎. ‎But for‎ ‎polynomials windows‎, ‎a result of this type does not happen. Fourier-like systems Shift-invariant systems A pair of dual frames Polynomials. 2018 10 01 15 27 http://ijmsi.ir/article-1-729-en.pdf
27-792 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Existence Results for Generalized ε-Vector Equilibrium Problems M. Abbasi malek.abbasi@sci.ui.ac.ir M. Rezaei mrezaie@sci.ui.ac.ir This paper studies some existence results for generalized epsilon-vector equilibrium problems and generalized epsilon-vector variational inequalities. The existence results for solutions are derived by using the celebrated KKM theorem. The results achieved in this paper generalize and improve the works of many authors in references. Generalized epsilon-vector equilibrium problems Generalized epsilon-vector variational inequalities KKM theorem Existence results Painleve-Kuratowski set-convergence. 2018 10 01 29 43 http://ijmsi.ir/article-1-792-en.pdf
27-796 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Szeged Dimension and \$PI_v\$ Dimension of Composite Graphs Y. Alizadeh y.alizadeh@hsu.ac.ir Let G be a simple connected graph. In this paper, Szeged dimension and PI_v dimension of graph G are introduced. It is proved that if G is a graph of Szeged dimension 1 then line graph of \$G\$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Szeged and PI_v indices for these composite graphs is obtained. Szeged dimension PI_v dimension Composite graphs Strongly regular graph. 2018 10 01 45 57 http://ijmsi.ir/article-1-796-en.pdf
27-816 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 L_1-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures A. Mohammadpouri pouri@tabrizu.ac.ir F. Pashaie S. Tajbakhsh Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing Delta by its extension, L_1-operator (L_1-conjecture). The L_1-conjecture states that any L_1-biharmonic Euclidean hypersurface is 1-minimal. We prove that the L_1-conjecture is true for L_1-biharmonic hypersurfaces with three distinct principal curvatures and constant mean curvature of a Euclidean space of arbitrary dimension. Linearized operators L_r L_1-biharmonic hypersurfaces 1-minimal 2018 10 01 59 70 http://ijmsi.ir/article-1-816-en.pdf
27-826 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 On Generalizations of Hadamard Inequalities for Fractional Integrals Gh. Farid A. Ur Rehman M. Zahra Fejer  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fejer  Hadamard  inequalities for k-fractional integrals. We deduce Fejer  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for k-fractional as well as fractional integrals are given. Convex functions Hermite-Hadamard inequalities Fejer Hadamard inequality Riemann-Liouville fractional integrals 2018 10 01 71 81 http://ijmsi.ir/article-1-826-en.pdf
27-817 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Vector Space semi-Cayley Graphs B. Tolue b.tolue@gmail.com The original aim of this paper is to construct a graph associated to a vector space. By inspiration of the classical definition for the Cayley graph related to a group we define Cayley graph of a vector space. The vector space Cayley graph \${rm Cay(mathcal{V},S)}\$ is a graph with the vertex set the whole vectors of the vector space \$mathcal{V}\$ and two vectors \$v_1,v_2\$ join by an edge whenever \$v_1-v_2in S\$ or \$-S\$, where \$S\$ is a basis of \$mathcal{V}\$. This fact causes a new connection between vector spaces and graphs. The vector space Cayley graph is made of copies of the cycles of length \$t\$, where \$t\$ is the cardinal number of the field that \$mathcal{V}\$ is constructed over it. The vector space Cayley graph is generalized to the graph \$Gamma(mathcal{V},S)\$. It is a graph with vertex set whole vectors of \$mathcal{V}\$ and two vertices \$v\$ and \$w\$ are adjacent whenever \$c_{1}upsilon+ c_{2}omega = sum^{n}_{i=1} alpha_{i}\$, where \$S={alpha_1,cdots,alpha_n}\$ is an ordered basis for \$mathcal{V}\$ and \$c_1,c_2\$ belong to the field that the vector space \$mathcal{V}\$ is made of over. It is deduced that if \$ S'\$ is another basis for \$mathcal{V}\$ which is constructed by special invertible matrix \$P\$, then \$Gamma(mathcal{V},S)cong Gamma(mathcal{V},S')\$. Cayley graph Vector space Basis. 2018 10 01 83 91 http://ijmsi.ir/article-1-817-en.pdf
27-833 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds R. Mirzaie r.mirzaei@sci.ikiu.ac.ir If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of  graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.   Manifold Fractal Box dimension. 2018 10 01 93 99 http://ijmsi.ir/article-1-833-en.pdf
27-847 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 On I-statistical Convergence Sh. Debnath shyamalnitamath@gmail.com D. Rakshit debjanirakshit88@gmail.com In the present paper, we investigate the notion of I -statistical convergence and introduce I -st limit points and I -st cluster points of real number sequence and also studied some of its basic properties. I -limit point I -cluster point I -statistically convergent 2018 10 01 101 109 http://ijmsi.ir/article-1-847-en.pdf
27-868 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations P. Rahimkhani Y. Ordokhani E. Babolian In this paper, a Bernoulli pseudo-spectral method for solving nonlinear fractional Volterra integro-differential equations is considered. First existence of a unique solution for the problem under study is proved. Then the Caputo fractional derivative and Riemman-Liouville fractional integral properties are employed to derive the new approximate formula for unknown function of the problem. The suggested technique transforms these types of equations to the solution of systems of algebraic equations. In the next step, the error analysis of the proposed method is investigated. Finally, the technique is applied to some problems to show its validity and applicability. Fractional Volterra integro-differential equations Bernoulli pseudo- spectral method Caputo derivative. 2018 10 01 111 132 http://ijmsi.ir/article-1-868-en.pdf
27-858 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Isoclinic Classification of Some Pairs \$(G,G\')\$ of \$p\$-Groups S. Kayvanfar skayvanf@um.ac.ir A. Kaheni azamkaheni@yahoo.com ‎‎The equivalence relation isoclinism partitions the class of all pairs of groups‎ ‎into families‎. ‎In this paper‎, ‎a complete classification of the set of all pairs \$(G,G')\$ is established‏‎,‎ whenever‎ \$G\$ is a \$p\$-group of order at most \$p^5‎‏\$‎ and ‎\$p\$ is a prime number greater than 3. Moreover‎, ‎the classification of pairs \$(H,H')\$ for extra special \$p\$-groups \$H\$ is also given. Pairs of groups Isoclinism Classification of \$p\$-groups. 2018 10 01 133 142 http://ijmsi.ir/article-1-858-en.pdf
27-916 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 Extended Jacobi and Laguerre Functions and their Applications M.R. Eslahchi A. Abedzadeh The aim of this paper is to introduce two new extensions of the Jacobi and Laguerre polynomials as the eigenfunctions of two non-classical Sturm-Liouville problems. We prove some important properties of these operators such as: These sets of functions are orthogonal with respect to a positive de nite inner product de ned over the compact intervals [-1, 1] and [0,1), respectively and also these sequences form two new orthog- onal bases for the corresponding Hilbert spaces. Finally, the spectral and Rayleigh-Ritz methods are carry out using these basis functions to solve some examples. Our nu- merical results are compared with other existing results to con rm the eciency and accuracy of our method. Sturm-Liouville theory Orthogonal polynomials Ordinary dierential equations Non-classical Sturm-Liouville problems Spectral method Collocation method Galerkin. 2018 10 01 143 161 http://ijmsi.ir/article-1-916-en.pdf
27-870 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 On Almost n-Layered QTAG-modules A. Hasan ayaz.maths@gmail.com We define the notion of almost \$n\$-layered \$QTAG\$-modules and study their basic properties. One of the main result is that almost 1-layered modules are almost \$(omega+1)\$-projective exactly when they are almost direct sum of countably generated modules of length less than or equal to \$(omega+1)\$. Some other characterizations of this new class are also established. \$QTAG\$-modules Almost \$Sigma\$-uniserial modules Almost \$(omega+n)\$-projective modules Almost 1-layered modules. 2018 10 01 163 171 http://ijmsi.ir/article-1-870-en.pdf
27-1513 2019-11-22 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 7 2018 13 2 ABSTRACTS IN PERSIAN Vol.13, No.2 The Name of Authors In This Volume fatemeh.bardestani@gmail.com Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS PERSIAN Vol. 13 No. 2 2018 10 01 173 186 http://ijmsi.ir/article-1-1513-en.pdf