eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
1
7
10.22130/scma.2017.22042
22042
مقاله پژوهشی
The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions
Şahsene Altınkaya
sahsene@uludag.edu.tr
1
Sibel Yalҫın
syalcin@uludag.edu.tr
2
Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.
Department of Mathematics, Faculty of Arts and Science, University of Uludag, 16059, Bursa, Turkey.
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].
http://scma.maragheh.ac.ir/article_22042_d72f5c70832625d1de77bd8a4dcc14fb.pdf
Bi-univalent functions
Convex functions with respect to symmetric points
Subordination
Fekete-Szegö inequality
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
9
20
10.22130/scma.2017.21429
21429
مقاله پژوهشی
Extension of Krull's intersection theorem for fuzzy module
Ali Reza Sedighi
sedighi.phd@birjand.ac.ir
1
Mohammad Hossein Hosseini
mhhosseini@birjand.ac.ir
2
Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran.
Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.
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.
http://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf
$mu$-Fuzzy filtered module
Fuzzy inverse system
Fuzzy topological group
Krull's intersection theorem
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
21
30
10.22130/scma.2017.20589
20589
مقاله پژوهشی
$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$
Firooz Pashaie
f_pashaie@maragheh.ac.ir
1
Akram Mohammadpouri
pouri@tabrizu.ac.ir
2
Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.
Department of Mathematics, University of Tabriz, Tabriz, Iran.
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.
http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf
Spacelike hypersurface
Biharmonic
$L_k$-biharmonic
$k$-maximal
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
31
40
10.22130/scma.2017.19335
19335
مقاله پژوهشی
A family of positive nonstandard numerical methods with application to Black-Scholes equation
Mohammad Mehdizadeh Khalsaraei
muhammad.mehdizadeh@gmail.com
1
Nashmil Osmani
n.osmani2013@gmail.com
2
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
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.
http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf
Black-Scholes equation
Option pricing
Finite difference scheme
Positivity-preserving
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
41
47
10.22130/scma.2017.22228
22228
مقاله پژوهشی
Latin-majorization and its linear preservers
Mohammad Ali Hadian Nadoshan
ma.hadiann@gmail.com
1
Hamid Reza Afshin
afshin@vru.ac.ir
2
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Zip Code: 7718897111, Rafsanjan, Iran.
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 ${M_{n,m}}$.
http://scma.maragheh.ac.ir/article_22228_d8a2a927addcc6933428a2d0af4c0897.pdf
Doubly stochastic matrix
Latin-majorization
Latin square
Linear preserver
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
49
59
10.22130/scma.2017.21382
21382
مقاله پژوهشی
Symmetric module and Connes amenability
Mohammad Hossein Sattari
sattari@azaruniv.ac.ir
1
Hamid Shafieasl
h.shafieasl@azaruniv.ac.ir
2
Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.
Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.
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.
http://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf
Banach algebras
Symmetric amenability
Module amenability
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2017-01-01
05
1
61
67
10.22130/scma.2017.17786
17786
مقاله پژوهشی
Ozaki's conditions for general integral operator
Rahim Kargar
rkargar1983@gmail.com
1
Ali Ebadian
ebadian.ali@gmail.com
2
Department of Mathematics, Payame Noor University, I. R. of Iran.
Department of Mathematics, Payame Noor University, I. R. of Iran.
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.
http://scma.maragheh.ac.ir/article_17786_7cc766b7af9e228a4c99a78217ebf0de.pdf
Starlike function
convex function
Locally univalent
Integral operator
Ozaki's conditions