University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions
1
7
EN
Şahsene
Altınkaya
Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.
sahsene@uludag.edu.tr
Sibel
Yalҫın
Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.
syalcin@uludag.edu.tr
10.22130/scma.2017.22042
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
http://scma.maragheh.ac.ir/article_22042.html
http://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
Extension of Krull's intersection theorem for fuzzy module
9
20
EN
Ali Reza
Sedighi
Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran.
sedighi.phd@birjand.ac.ir
Mohammad Hossein
Hosseini
Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.
mhhosseini@birjand.ac.ir
10.22130/scma.2017.21429
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
http://scma.maragheh.ac.ir/article_21429.html
http://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$
21
30
EN
Firooz
Pashaie
Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.
f_pashaie@maragheh.ac.ir
Akram
Mohammadpouri
Department of Mathematics, University of Tabriz, Tabriz, Iran.
pouri@tabrizu.ac.ir
10.22130/scma.2017.20589
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 $x : M^2rightarrowmathbb{E}^{3}$ 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 $x: M^3rightarrowmathbb{E}^{4}$ 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
http://scma.maragheh.ac.ir/article_20589.html
http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
A family of positive nonstandard numerical methods with application to Black-Scholes equation
31
40
EN
Mohammad
Mehdizadeh Khalsaraei
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
muhammad.mehdizadeh@gmail.com
Nashmil
Osmani
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
n.osmani2013@gmail.com
10.22130/scma.2017.19335
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
http://scma.maragheh.ac.ir/article_19335.html
http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
Latin-majorization and its linear preservers
41
47
EN
Mohammad Ali
Hadian Nadoshan
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
ma.hadiann@gmail.com
Hamid Reza
Afshin
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
afshin@vru.ac.ir
10.22130/scma.2017.22228
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
http://scma.maragheh.ac.ir/article_22228.html
http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
Symmetric module and Connes amenability
49
59
EN
Mohammad Hossein
Sattari
Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.
sattari@azaruniv.ac.ir
Hamid
Shafieasl
Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.
h.shafieasl@azaruniv.ac.ir
10.22130/scma.2017.21382
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
http://scma.maragheh.ac.ir/article_21382.html
http://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
05
1
2017
01
01
Ozaki's conditions for general integral operator
61
67
EN
Rahim
Kargar
Department of Mathematics, Payame Noor University, I. R. of Iran.
rkargar1983@gmail.com
Ali
Ebadian
Department of Mathematics, Payame Noor University, I. R. of Iran.
ebadian.ali@gmail.com
10.22130/scma.2017.17786
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{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*} mathcal{F}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) >frac{1 }{2}-mu,quad -1/2<muleq 1right}, 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
http://scma.maragheh.ac.ir/article_17786.html
http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf