University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions 1 7 22042 10.22130/scma.2017.22042 EN Şahsene Altınkaya Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. Sibel Yalҫın Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. Journal Article 2016 02 27 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 Extension of Krull's intersection theorem for fuzzy module 9 20 21429 10.22130/scma.2017.21429 EN Ali Reza Sedighi Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran. Mohammad Hossein Hosseini Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran. Journal Article 2016 02 21 ‎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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 \$L_k\$-biharmonic spacelike hypersurfaces in Minkowski \$4\$-space \$mathbb{E}_1^4\$ 21 30 20589 10.22130/scma.2017.20589 EN Firooz Pashaie Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran. Akram Mohammadpouri Department of Mathematics, University of Tabriz, Tabriz, Iran. Journal Article 2016 02 10 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 A family of positive nonstandard numerical methods with application to Black-Scholes equation 31 40 19335 10.22130/scma.2017.19335 EN Mohammad Mehdizadeh Khalsaraei Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Nashmil Osmani Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. Journal Article 2015 12 27 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 Latin-majorization and its linear preservers 41 47 22228 10.22130/scma.2017.22228 EN Mohammad Ali Hadian Nadoshan Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. Hamid Reza Afshin Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. Journal Article 2016 04 28 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 Symmetric module and Connes amenability 49 59 21382 10.22130/scma.2017.21382 EN Mohammad Hossein Sattari Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. Hamid Shafieasl Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. Journal Article 2016 05 15 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 05 1 2017 01 01 Ozaki's conditions for general integral operator 61 67 17786 10.22130/scma.2017.17786 EN Rahim Kargar Department of Mathematics, Payame Noor University, I. R. of Iran. Ali Ebadian Department of Mathematics, Payame Noor University, I. R. of Iran. Journal Article 2015 12 10 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