@article {
author = {Altınkaya, Şahsene and Yalҫın, Sibel},
title = {The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {1-7},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.22042},
abstract = {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 [11].},
keywords = {Bi-univalent functions,Convex functions with respect to symmetric points,Subordination,Fekete-Szegö inequality},
url = {http://scma.maragheh.ac.ir/article_22042.html},
eprint = {http://scma.maragheh.ac.ir/article__d72f5c70832625d1de77bd8a4dcc14fb22042.pdf}
}
@article {
author = {Sedighi, Ali Reza and Hosseini, Mohammad Hossein},
title = {Extension of Krull's intersection theorem for fuzzy module},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {9-20},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.21429},
abstract = {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.},
keywords = {$mu$-Fuzzy filtered module,Fuzzy inverse system,Fuzzy topological group,Krull's intersection theorem},
url = {http://scma.maragheh.ac.ir/article_21429.html},
eprint = {http://scma.maragheh.ac.ir/article__30b2b3341076dddace48c4a072784c9e21429.pdf}
}
@article {
author = {Pashaie, Firooz and Mohammadpouri, Akram},
title = {$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $\mathbb{E}_1^4$},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {21-30},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.20589},
abstract = {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.},
keywords = {Spacelike hypersurface,Biharmonic,$L_k$-biharmonic,$k$-maximal},
url = {http://scma.maragheh.ac.ir/article_20589.html},
eprint = {http://scma.maragheh.ac.ir/article__41cae243cd77692b496d7ab7a304e79b20589.pdf}
}
@article {
author = {Mehdizadeh Khalsaraei, Mohammad and Osmani, Nashmil},
title = {A family of positive nonstandard numerical methods with application to Black-Scholes equation},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {31-40},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.19335},
abstract = {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.},
keywords = {Black-Scholes equation,Option pricing,Finite difference scheme,Positivity-preserving},
url = {http://scma.maragheh.ac.ir/article_19335.html},
eprint = {http://scma.maragheh.ac.ir/article__cf08f2d957449d24abc0378c987a3ca619335.pdf}
}
@article {
author = {Hadian Nadoshan, Mohammad Ali and Afshin, Hamid Reza},
title = {Latin-majorization and its linear preservers},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {41-47},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.22228},
abstract = {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 ${M_{n,m}}$.},
keywords = {Doubly stochastic matrix,Latin-majorization,Latin square,Linear preserver},
url = {http://scma.maragheh.ac.ir/article_22228.html},
eprint = {http://scma.maragheh.ac.ir/article__d8a2a927addcc6933428a2d0af4c089722228.pdf}
}
@article {
author = {Sattari, Mohammad Hossein and Shafieasl, Hamid},
title = {Symmetric module and Connes amenability},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {49-59},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.21382},
abstract = {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.},
keywords = {Banach algebras,Symmetric amenability,Module amenability},
url = {http://scma.maragheh.ac.ir/article_21382.html},
eprint = {http://scma.maragheh.ac.ir/article__4d0846371eaab14fedda80b8067ab74321382.pdf}
}
@article {
author = {Kargar, Rahim and Ebadian, Ali},
title = {Ozaki's conditions for general integral operator},
journal = {Sahand Communications in Mathematical Analysis},
volume = {05},
number = {1},
pages = {61-67},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.17786},
abstract = {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.},
keywords = {Starlike function,convex function,Locally univalent,Integral operator,Ozaki's conditions},
url = {http://scma.maragheh.ac.ir/article_17786.html},
eprint = {http://scma.maragheh.ac.ir/article__7cc766b7af9e228a4c99a78217ebf0de17786.pdf}
}