Non-Equivalent Norms on $C^b(K)$
Ali Reza
Khoddami
Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box
3619995161-316, Shahrood, Iran.
author
text
article
2020
eng
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 $C^{b\varphi}(K)$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
1
11
https://scma.maragheh.ac.ir/article_44696_5452c2069b9738dc47e177eb1717ec41.pdf
dx.doi.org/10.22130/scma.2020.121559.748
On Certain Generalized Bazilevic type Functions Associated with Conic Regions
Khalida Inayat
Noor
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan.
author
Shujaat Ali
Shah
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
13
23
https://scma.maragheh.ac.ir/article_44698_81ce89f56d44bc7b12a2aa131ad1adeb.pdf
dx.doi.org/10.22130/scma.2020.118014.720
On Measure Chaotic Dynamical Systems
Faride
Ghorbani Moghaddam
Department of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.
author
Alireza
Zamani Bahabadi
Department of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.
author
Bahman
Honary
Department of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
25
37
https://scma.maragheh.ac.ir/article_44724_b656843d2cc984aef6e5d8042316c1a0.pdf
dx.doi.org/10.22130/scma.2020.119707.736
First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras
Ebrahim
Nasrabadi
Faculty of Mathematics Science and Statistics, University of Birjand, Birjand, 9717851367, Iran.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
39
47
https://scma.maragheh.ac.ir/article_40586_4627996c1816edb61580f220d1e7034e.pdf
dx.doi.org/10.22130/scma.2020.119494.733
Using Copulas to Model Dependence Between Crude Oil Prices of West Texas Intermediate and Brent-Europe
Vadoud
Najjari
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
49
59
https://scma.maragheh.ac.ir/article_40585_bd1f9a1ce021e3bbff96aba91937ac08.pdf
dx.doi.org/10.22130/scma.2020.117584.713
Integral Operators on the Besov Spaces and Subclasses of Univalent Functions
Zahra
Orouji
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
author
Ali
Ebadian
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
61
69
https://scma.maragheh.ac.ir/article_40576_e18edb5a5a03100206eb64b61c6abd5e.pdf
dx.doi.org/10.22130/scma.2019.109347.625
Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative
Mohammad Hassan
Golmohammadi
Department of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.
author
Shahram
Najafzadeh
Department of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.
author
Mohammad Reza
Foroutan
Department of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
71
84
https://scma.maragheh.ac.ir/article_46513_b8aeda0c259850ac0e67ca9c643a79ab.pdf
dx.doi.org/10.22130/scma.2020.124021.772
On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces
Fidan
Seyidova
Ganja State University, Ganja, Azerbaijan.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
85
93
https://scma.maragheh.ac.ir/article_44697_17914ba143decb590e3c897ea5ffc48f.pdf
dx.doi.org/10.22130/scma.2020.121797.756
Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space
Nurcan
Bilgili Gungor
Department of Mathematics, Faculty of Science and Arts, Amasya University, 05000, Amasya, Turkey.
author
Duran
Turkoglu
Department of Mathematics, Faculty of Science, Gazi University, 06500, Ankara, Turkey.
author
text
article
2020
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
17
v.
4
no.
2020
95
107
https://scma.maragheh.ac.ir/article_44725_16c093275742479a5fc5748fb75ae178.pdf
dx.doi.org/10.22130/scma.2020.118420.722