The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions Şahsene Altınkaya Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. author Sibel Yalҫın Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey. author text article 2017 eng 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 . Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 1 7 http://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf dx.doi.org/10.22130/scma.2017.22042 Extension of Krull's intersection theorem for fuzzy module Ali Reza Sedighi Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran. author Mohammad Hossein Hosseini Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran. author text article 2017 eng ‎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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 9 20 http://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf dx.doi.org/10.22130/scma.2017.21429 $L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $\mathbb{E}_1^4$ Firooz Pashaie Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran. author Akram Mohammadpouri Department of Mathematics, University of Tabriz, Tabriz, Iran. author text article 2017 eng 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 $x : M^2\rightarrow\mathbb{E}^{3}$ 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 $x: M^3\rightarrow\mathbb{E}^{4}$ 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 21 30 http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf dx.doi.org/10.22130/scma.2017.20589 A family of positive nonstandard numerical methods with application to Black-Scholes equation Mohammad Mehdizadeh Khalsaraei Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. author Nashmil Osmani Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran. author text article 2017 eng 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 31 40 http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf dx.doi.org/10.22130/scma.2017.19335 Latin-majorization and its linear preservers Mohammad Ali Hadian Nadoshan Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. author Hamid Reza Afshin Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran. author text article 2017 eng 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 ${M_{n,m}}$. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 41 47 http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf dx.doi.org/10.22130/scma.2017.22228 Symmetric module and Connes amenability Mohammad Hossein Sattari Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. author Hamid Shafieasl Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran. author text article 2017 eng 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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 49 59 http://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf dx.doi.org/10.22130/scma.2017.21382 Ozaki's conditions for general integral operator Rahim Kargar Department of Mathematics, Payame Noor University, I. R. of Iran. author Ali Ebadian Department of Mathematics, Payame Noor University, I. R. of Iran. author text article 2017 eng 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\{f\in \mathcal{A}:\mathfrak{Re}\left( 1+\frac{zf^{\prime \prime }(z)}{f^{\prime }(z)}\right) <1+\frac{\alpha }{2},\quad 0<\alpha\leq1\right\}, \end{equation*} and \begin{equation*}  \mathcal{F}(\alpha):=\left\{f\in \mathcal{A}:\mathfrak{Re}\left( 1+\frac{zf^{\prime \prime }(z)}{f^{\prime }(z)}\right) >\frac{1 }{2}-\mu,\quad -1/2<\mu\leq 1\right\}, \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. Sahand Communications in Mathematical Analysis University of Maragheh 2322-5807 05 v. 1 no. 2017 61 67 http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf dx.doi.org/10.22130/scma.2017.17786