2021-10-20T23:31:40Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=3805
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions
Şahsene
Altınkaya
Sibel
Yalҫın
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].
Bi-univalent functions
Convex functions with respect to symmetric points
Subordination
Fekete-Szegö inequality
2017
01
01
1
7
https://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
Extension of Krull's intersection theorem for fuzzy module
Ali Reza
Sedighi
Mohammad Hossein
Hosseini
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.
$mu$-Fuzzy filtered module
Fuzzy inverse system
Fuzzy topological group
Krull's intersection theorem
2017
01
01
9
20
https://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$
Firooz
Pashaie
Akram
Mohammadpouri
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.
Spacelike hypersurface
Biharmonic
$L_k$-biharmonic
$k$-maximal
2017
01
01
21
30
https://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
A family of positive nonstandard numerical methods with application to Black-Scholes equation
Mohammad
Mehdizadeh Khalsaraei
Nashmil
Osmani
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.
Black-Scholes equation
Option pricing
Finite difference scheme
Positivity-preserving
2017
01
01
31
40
https://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
Latin-majorization and its linear preservers
Mohammad Ali
Hadian Nadoshan
Hamid Reza
Afshin
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 ${M_{n,m}}$.
Doubly stochastic matrix
Latin-majorization
Latin square
Linear preserver
2017
01
01
41
47
https://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
Symmetric module and Connes amenability
Mohammad Hossein
Sattari
Hamid
Shafieasl
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.
Banach algebras
Symmetric amenability
Module amenability
2017
01
01
49
59
https://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
05
1
Ozaki's conditions for general integral operator
Rahim
Kargar
Ali
Ebadian
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.
Starlike function
convex function
Locally univalent
Integral operator
Ozaki's conditions
2017
01
01
61
67
https://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf