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 [11].
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
5
v.
1
no.
2017
1
7
http://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf
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
5
v.
1
no.
2017
9
20
http://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf
$L_k$-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
5
v.
1
no.
2017
21
30
http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf
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
5
v.
1
no.
2017
31
40
http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf
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
5
v.
1
no.
2017
41
47
http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf
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
5
v.
1
no.
2017
49
59
http://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf
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
5
v.
1
no.
2017
61
67
http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf