eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 1 7 10.22130/scma.2017.22042 22042 مقاله پژوهشی The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions Şahsene Altınkaya sahsene@uludag.edu.tr 1 Sibel Yalҫın syalcin@uludag.edu.tr 2 Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. In this work, we obtain the Fekete-Szegö inequalities for the class \$P_{Sigma }left( lambda ,phi right) \$ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi . http://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf Bi-univalent functions Convex functions with respect to symmetric points Subordination Fekete-Szegö inequality eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 9 20 10.22130/scma.2017.21429 21429 مقاله پژوهشی Extension of Krull's intersection theorem for fuzzy module Ali Reza Sedighi sedighi.phd@birjand.ac.ir 1 Mohammad Hossein Hosseini mhhosseini@birjand.ac.ir 2 Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran. Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran. ‎In this article we introduce \$mu\$-filtered fuzzy module with a family of fuzzy submodules.  It shows the relation between \$mu\$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the \$mu\$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept \$mu\$-adic completion. http://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf \$mu\$-Fuzzy filtered module Fuzzy inverse system Fuzzy topological group Krull's intersection theorem eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 21 30 10.22130/scma.2017.20589 20589 مقاله پژوهشی \$L_k\$-biharmonic spacelike hypersurfaces in Minkowski \$4\$-space \$mathbb{E}_1^4\$ Firooz Pashaie f_pashaie@maragheh.ac.ir 1 Akram Mohammadpouri pouri@tabrizu.ac.ir 2 Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran. Department of Mathematics, University of Tabriz, Tabriz, Iran. Biharmonic surfaces in Euclidean space \$mathbb{E}^3\$ are firstly studied from a differential geometric point of view by Bang-Yen Chen, who showed that the only biharmonic surfaces are minimal ones. A surface \$x : M^2rightarrowmathbb{E}^{3}\$ is called biharmonic if \$Delta^2x=0\$, where \$Delta\$ is the Laplace operator of \$M^2\$. We study the \$L_k\$-biharmonic spacelike hypersurfaces in the \$4\$-dimentional pseudo-Euclidean space \$mathbb{E}_1^4\$ with an additional condition that the principal curvatures are distinct. A hypersurface \$x: M^3rightarrowmathbb{E}^{4}\$ is called \$L_k\$-biharmonic if \$L_k^2x=0\$ (for \$k=0,1,2\$), where \$L_k\$ is the linearized operator associated to the first variation of \$(k+1)\$-th mean curvature of \$M^3\$. Since \$L_0=Delta\$, the matter of \$L_k\$-biharmonicity is a natural generalization of biharmonicity. On any \$L_k\$-biharmonic spacelike hypersurfaces in \$mathbb{E}_1^4\$ with distinct principal curvatures, by, assuming \$H_k\$ to be constant, we get that \$H_{k+1}\$ is constant. Furthermore, we show that \$L_k\$-biharmonic spacelike hypersurfaces in \$mathbb{E}_1^4\$ with constant \$H_k\$ are \$k\$-maximal. http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf Spacelike hypersurface Biharmonic \$L_k\$-biharmonic \$k\$-maximal eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 31 40 10.22130/scma.2017.19335 19335 مقاله پژوهشی A family of positive nonstandard numerical methods with application to Black-Scholes equation Mohammad Mehdizadeh Khalsaraei muhammad.mehdizadeh@gmail.com 1 Nashmil Osmani n.osmani2013@gmail.com 2 Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black-Scholes equation. Unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations. http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf Black-Scholes equation Option pricing Finite difference scheme Positivity-preserving eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 41 47 10.22130/scma.2017.22228 22228 مقاله پژوهشی Latin-majorization and its linear preservers Mohammad Ali Hadian Nadoshan ma.hadiann@gmail.com 1 Hamid Reza Afshin afshin@vru.ac.ir 2 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. In this paper we study the concept of Latin-majorizati-\on. Geometrically this concept is different from other kinds of majorization in some aspects. Since the set of all \$x\$s Latin-majorized by a fixed \$y\$ is not convex, but, consists of union of finitely many convex sets. Next, we hint to linear preservers of Latin-majorization on \$ mathbb{R}^{n}\$ and \${M_{n,m}}\$. http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf Doubly stochastic matrix Latin-majorization Latin square Linear preserver eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 49 59 10.22130/scma.2017.21382 21382 مقاله پژوهشی Symmetric module and Connes amenability Mohammad Hossein Sattari sattari@azaruniv.ac.ir 1 Hamid Shafieasl h.shafieasl@azaruniv.ac.ir 2 Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. In this paper we introduce two symmetric variants of amenability, symmetric module amenability and symmetric Connes amenability. We determine symmetric module amenability and symmetric Connes amenability of some concrete Banach algebras. Indeed, it is shown that \$ell^1(S)\$ is  a symmetric \$ell^1(E)\$-module amenable if and only if \$S\$ is amenable, where \$S\$ is an inverse semigroup with subsemigroup \$E(S)\$ of idempotents. In symmetric connes amenability, we have proved that \$M(G)\$ is symmetric connes amenable if and only if \$G\$ is amenable. http://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf Banach algebras Symmetric amenability Module amenability eng University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 2423-3900 2017-01-01 05 1 61 67 10.22130/scma.2017.17786 17786 مقاله پژوهشی Ozaki's conditions for general integral operator Rahim Kargar rkargar1983@gmail.com 1 Ali Ebadian ebadian.ali@gmail.com 2 Department of Mathematics, Payame Noor University, I. R. of Iran. Department of Mathematics, Payame Noor University, I. R. of Iran. Assume that \$mathbb{D}\$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by \$mathcal{G}(alpha)\$ and \$mathcal{F}(mu)\$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  mathcal{F}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) >frac{1 }{2}-mu,quad -1/2<muleq 1right}, end{equation*} respectively, where \$z in mathbb{D}\$. In this paper, we study the mapping properties of this classes under general integral operator. We also, obtain some conditions for integral operator to be convex or starlike function. http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf Starlike function convex function Locally univalent Integral operator Ozaki's conditions