2021-10-19T18:34:08Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=7089
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
Non-Equivalent Norms on $C^b(K)$
Ali Reza
Khoddami
Let $A$ be a non-zero normed vector space and let $K=\overline{B_1^{(0)}}$ be the closed unit ball of $A$. Also, let $\varphi$ be a non-zero element of $ A^*$ such that $\Vert \varphi \Vert\leq 1$. We first define a new norm $\Vert \cdot \Vert_\varphi$ on $C^b(K)$, that is a non-complete, non-algebraic norm and also non-equivalent to the norm $\Vert \cdot \Vert_\infty$. We next show that for $0\neq\psi\in A^*$ with $\Vert \psi \Vert\leq 1$, the two norms $\Vert \cdot \Vert_\varphi$ and $\Vert \cdot \Vert_\psi$ are equivalent if and only if $\varphi$ and $\psi$ are linearly dependent. Also by applying the norm $\Vert \cdot \Vert_\varphi $ and a new product `` $\cdot$ '' on $C^b(K)$, we present the normed algebra $ \left( C^{b\varphi}(K), \Vert \cdot \Vert_\varphi \right)$. Finally we investigate some relations between strongly zero-product preserving maps on $C^b(K)$ and $C^{b\varphi}(K)$.
Normed vector space
Equivalent norm
Zero-product preserving map
Strongly zero-product preserving map
2020
11
01
1
11
https://scma.maragheh.ac.ir/article_44696_5452c2069b9738dc47e177eb1717ec41.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
On Certain Generalized Bazilevic type Functions Associated with Conic Regions
Khalida Inayat
Noor
Shujaat Ali
Shah
Let $f$ and $g$ be analytic in the open unit disc and, for $\alpha ,$ $\beta \geq 0$, let\begin{align*}J\left( \alpha ,\beta ,f,g\right) & =\frac{zf^{\prime }(z)}{f^{1-\alpha}(z)g^{\alpha }(z)}+\beta \left( 1+\frac{zf^{\prime \prime }(z)}{f^{\prime}(z)}\right) -\beta \left( 1-\alpha \right) \frac{zf^{\prime }(z)}{f(z)} \\& \quad -\alpha \beta \frac{zg^{\prime }(z)}{g(z)}\text{.}\end{align*}The main aim of this paper is to study the class of analytic functions which map $J\left( \alpha ,\beta ,f,g\right) $ onto conic regions. Several interesting problems such as arc length, inclusion relationship, rate of growth of coefficient and Growth rate of Hankel determinant will be discussed.
Conic regions
Bazilevic function
Bounded boundary rotation
Hankel determinant
Univalent functions
2020
11
01
13
23
https://scma.maragheh.ac.ir/article_44698_81ce89f56d44bc7b12a2aa131ad1adeb.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
On Measure Chaotic Dynamical Systems
Faride
Ghorbani Moghaddam
Alireza
Zamani Bahabadi
Bahman
Honary
In this paper, we introduce chaotic measure for discrete and continuous dynamical systems and study some properties of measure chaotic systems. Also relationship between chaotic measure, ergodic and expansive measures is investigated. Finally, we prove a new version of variational principle for chaotic measure.
chaos
Chaotic measure
Sensitivity
2020
11
01
25
37
https://scma.maragheh.ac.ir/article_44724_b656843d2cc984aef6e5d8042316c1a0.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras
Ebrahim
Nasrabadi
Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of semigroup algbera $\ell^1(S)$ with coefficients in $\ell^\infty(S)$ (and also $\ell^1(S)^{(2n-1)}$ for $n\in \mathbb{N}$) are equal.
Clifford semigroup
Weak amenability
Weak module amenability
Cohomology group
Module cohomology group
2020
11
01
39
47
https://scma.maragheh.ac.ir/article_40586_4627996c1816edb61580f220d1e7034e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
Using Copulas to Model Dependence Between Crude Oil Prices of West Texas Intermediate and Brent-Europe
Vadoud
Najjari
In this study the main endeavor is to model dependence structure between crude oil prices of West Texas Intermediate (WTI) and Brent - Europe. The main activity is on concentrating copula technique which is powerful technique in modeling dependence structures. Beside several well known Archimedean copulas, three new Archimedean families are used which have recently presented to the literature. Moreover, convex combination of these copulas also are investigated on modeling of the mentioned dependence structure. Modeling process is relied on 318 data which are average of the monthly prices from Jun-1992 to Oct-2018.
Akaike information criterion (AIC)
Copulas
Goodness of fit test (GOF)
Linear convex combination
Parameter estimation
2020
11
01
49
59
https://scma.maragheh.ac.ir/article_40585_bd1f9a1ce021e3bbff96aba91937ac08.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
Integral Operators on the Besov Spaces and Subclasses of Univalent Functions
Zahra
Orouji
Ali
Ebadian
In this note, we study the integral operators $I_{g}^{\gamma, \alpha}$ and $J_{g}^{\gamma, \alpha}$ of an analytic function $g$ on convex and starlike functions of a complex order. Then, we investigate the same operators on $H^{\infty}$ and Besov spaces.
Integral operators
Besov spaces
Convex functions of complex order
Starlike functions of complex order
Schwarzian norm
2020
11
01
61
69
https://scma.maragheh.ac.ir/article_40576_e18edb5a5a03100206eb64b61c6abd5e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative
Mohammad Hassan
Golmohammadi
Shahram
Najafzadeh
Mohammad Reza
Foroutan
In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Coefficient estimates, extreme points, convex linear combination, Radii of starlikeness and convexity and finally partial sum property are investigated.
Meromorphic function
$(p
q)$-derivative
Coefficient bound
Extreme Point
convex set
Partial sum
Hadamard product
2020
11
01
71
84
https://scma.maragheh.ac.ir/article_46513_b8aeda0c259850ac0e67ca9c643a79ab.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces
Fidan
Seyidova
In this work systems of sines $\sin \left(n+\beta \right)t,\, \, n=1,2, \ldots,$ and cosines $\cos \left(n-\beta \right)t,\, \, n=0,1,2, \ldots,$ are considered, where $\beta \in R-$is a real parameter. The subspace $M^{p,\alpha } \left(0,\pi \right)$ of the Morrey space $L^{p,\alpha } \left(0,\pi \right)$ in which continuous functions are dense is considered. Criterion for the completeness, minimality and basicity of these systems with respect to the parameter $\beta $ in the subspace $M^{p,\alpha } \left(0,\pi \right)$, $1<p <+\infty, $ are found.
Basicity
System of sines
System of cosines
Morrey space
2020
11
01
85
93
https://scma.maragheh.ac.ir/article_44697_17914ba143decb590e3c897ea5ffc48f.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
4
Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space
Nurcan
Bilgili Gungor
Duran
Turkoglu
In this paper, some fixed point results of self mapping which is defined on orthogonal cone metric spaces are given by using extensions of orthogonal contractions. And by taking advantage of these results, the necessary conditions for self mappings on orthogonal cone metric space to have P property are investigated. Also an example is given to illustrate the main results.
Fixed point
Periodic point
Orthogonal set
Orthogonal contraction
Orthogonal cone metric
2020
11
01
95
107
https://scma.maragheh.ac.ir/article_44725_16c093275742479a5fc5748fb75ae178.pdf