University of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions172204210.22130/scma.2017.22042ENŞahseneAltınkayaDepartment of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.SibelYalҫınDepartment of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.0000-0002-0243-8263Journal Article20160227In 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 [11].https://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101Extension of Krull's intersection theorem for fuzzy module9202142910.22130/scma.2017.21429ENAli RezaSedighiDepartment of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran.Mohammad HosseinHosseiniDepartment of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.Journal Article20160221In 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.https://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $\mathbb{E}_1^4$21302058910.22130/scma.2017.20589ENFiroozPashaieDepartment of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.AkramMohammadpouriDepartment of Mathematics, University of Tabriz, Tabriz, Iran.0000-0002-8546-6445Journal Article20160210Biharmonic 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.https://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101A family of positive nonstandard numerical methods with application to Black-Scholes equation31401933510.22130/scma.2017.19335ENMohammadMehdizadeh KhalsaraeiDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.NashmilOsmaniDepartment of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.Journal Article20151227Nonstandard 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.https://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101Latin-majorization and its linear preservers41472222810.22130/scma.2017.22228ENMohammad AliHadian NadoshanDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Hamid RezaAfshinDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.Journal Article20160428In 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 ${M_{n,m}}$.https://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101Symmetric module and Connes amenability49592138210.22130/scma.2017.21382ENMohammad HosseinSattariDepartment of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.HamidShafieaslDepartment of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.Journal Article20160515In 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.https://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580705120170101Ozaki's conditions for general integral operator61671778610.22130/scma.2017.17786ENRahimKargarDepartment of Mathematics, Payame Noor University, I. R. of Iran.AliEbadianDepartment of Mathematics, Payame Noor University, I. R. of Iran.Journal Article20151210Assume 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.https://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf