@article {
author = {Khoddami, Ali Reza},
title = {Non-Equivalent Norms on $C^b(K)$},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {1-11},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.121559.748},
abstract = {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 $C^{b\varphi}(K)$.},
keywords = {Normed vector space,Equivalent norm,Zero-product preserving map,Strongly zero-product preserving map},
url = {https://scma.maragheh.ac.ir/article_44696.html},
eprint = {https://scma.maragheh.ac.ir/article_44696_5452c2069b9738dc47e177eb1717ec41.pdf}
}
@article {
author = {Noor, Khalida Inayat and Shah, Shujaat Ali},
title = {On Certain Generalized Bazilevic type Functions Associated with Conic Regions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {13-23},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.118014.720},
abstract = {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.},
keywords = {Conic regions,Bazilevic function,Bounded boundary rotation,Hankel determinant,Univalent functions},
url = {https://scma.maragheh.ac.ir/article_44698.html},
eprint = {https://scma.maragheh.ac.ir/article_44698_81ce89f56d44bc7b12a2aa131ad1adeb.pdf}
}
@article {
author = {Ghorbani Moghaddam, Faride and Zamani Bahabadi, Alireza and Honary, Bahman},
title = {On Measure Chaotic Dynamical Systems},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {25-37},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.119707.736},
abstract = {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.},
keywords = {chaos,Chaotic measure,Sensitivity},
url = {https://scma.maragheh.ac.ir/article_44724.html},
eprint = {https://scma.maragheh.ac.ir/article_44724_b656843d2cc984aef6e5d8042316c1a0.pdf}
}
@article {
author = {Nasrabadi, Ebrahim},
title = {First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {39-47},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.119494.733},
abstract = {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.},
keywords = {Clifford semigroup,Weak amenability,Weak module amenability,Cohomology group,Module cohomology group},
url = {https://scma.maragheh.ac.ir/article_40586.html},
eprint = {https://scma.maragheh.ac.ir/article_40586_4627996c1816edb61580f220d1e7034e.pdf}
}
@article {
author = {Najjari, Vadoud},
title = {Using Copulas to Model Dependence Between Crude Oil Prices of West Texas Intermediate and Brent-Europe},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {49-59},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.117584.713},
abstract = {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.},
keywords = {Akaike information criterion (AIC),Copulas,Goodness of fit test (GOF),Linear convex combination,Parameter estimation},
url = {https://scma.maragheh.ac.ir/article_40585.html},
eprint = {https://scma.maragheh.ac.ir/article_40585_bd1f9a1ce021e3bbff96aba91937ac08.pdf}
}
@article {
author = {Orouji, Zahra and Ebadian, Ali},
title = {Integral Operators on the Besov Spaces and Subclasses of Univalent Functions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {61-69},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2019.109347.625},
abstract = {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.},
keywords = {Integral operators,Besov spaces,Convex functions of complex order,Starlike functions of complex order,Schwarzian norm},
url = {https://scma.maragheh.ac.ir/article_40576.html},
eprint = {https://scma.maragheh.ac.ir/article_40576_e18edb5a5a03100206eb64b61c6abd5e.pdf}
}
@article {
author = {Golmohammadi, Mohammad Hassan and Najafzadeh, Shahram and Foroutan, Mohammad Reza},
title = {Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {71-84},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.124021.772},
abstract = {In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Coefficient estimates, extreme points, convex linear combination, Radii of starlikeness and convexity and finally partial sum property are investigated.},
keywords = {Meromorphic function,$(p,q)$-derivative,Coefficient bound,Extreme Point,convex set,Partial sum,Hadamard product},
url = {https://scma.maragheh.ac.ir/article_46513.html},
eprint = {https://scma.maragheh.ac.ir/article_46513_b8aeda0c259850ac0e67ca9c643a79ab.pdf}
}
@article {
author = {Seyidova, Fidan},
title = {On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {4},
pages = {85-93},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.121797.756},
abstract = {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