University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Non-Equivalent Norms on $C^b(K)$1114469610.22130/scma.2020.121559.748ENAli RezaKhoddamiFaculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box
3619995161-316, Shahrood, Iran.Journal Article20200211Let $A$ 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 $Vert varphi Vertleq 1$. 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 $0neqpsiin A^*$ with $Vert psi Vertleq 1$, 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^{bvarphi}(K), Vert cdot Vert_varphi right)$. Finally we investigate some relations between strongly zero-product preserving maps on $C^b(K)$ and $C^{bvarphi}(K)$.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101On Certain Generalized Bazilevic type Functions Associated with Conic Regions13234469810.22130/scma.2020.118014.720ENKhalida InayatNoorDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan.Shujaat AliShahDepartment of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan.https://orcid.org/0000-0002-8479-1326Journal Article20191206Let $f$ and $g$ be analytic in the open unit disc and, for $alpha ,$ $beta geq 0$, let<br />begin{align*}<br />Jleft( alpha ,beta ,f,gright) & =frac{zf^{prime }(z)}{f^{1-alpha<br />}(z)g^{alpha }(z)}+beta left( 1+frac{zf^{prime prime }(z)}{f^{prime<br />}(z)}right) -beta left( 1-alpha right) frac{zf^{prime }(z)}{f(z)} \<br />& quad -alpha beta frac{zg^{prime }(z)}{g(z)}text{.}<br />end{align*}<br />The main aim of this paper is to study the class of analytic functions which map $Jleft( alpha ,beta ,f,gright) $ 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101On Measure Chaotic Dynamical Systems25374472410.22130/scma.2020.119707.736ENFarideGhorbani MoghaddamDepartment of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.AlirezaZamani BahabadiDepartment of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.0000000306467384BahmanHonaryDepartment of pure mathematics, Ferdowsi university of Mashhad, Mashhad, Iran.Journal Article20200106In 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras39474058610.22130/scma.2020.119494.733ENEbrahimNasrabadiFaculty of Mathematics Science and Statistics, University of Birjand, Birjand, 9717851367, Iran.https://orcid.org/0000-0002-0842-492XJournal Article20200103Let $S$ 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 $nin mathbb{N}$) are equal.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Using Copulas to Model Dependence Between Crude Oil Prices of West Texas Intermediate and Brent-Europe49594058510.22130/scma.2020.117584.713ENVadoudNajjariYoung Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.Journal Article20191126In 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Integral Operators on the Besov Spaces and Subclasses of Univalent Functions61694057610.22130/scma.2019.109347.625ENZahraOroujiDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.AliEbadianDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.Journal Article20190610In 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative71844651310.22130/scma.2020.124021.772ENMohammad HassanGolmohammadiDepartment of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.0000-0002-1863-9895ShahramNajafzadehDepartment of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.Mohammad RezaForoutanDepartment of Mathematics, Payame Noor University (PNU), P.O.Box: 19395-3697, Tehran, Iran.Journal Article20200409In 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101On the Basicity of Systems of Sines and Cosines with a Linear Phase in Morrey-Type Spaces85934469710.22130/scma.2020.121797.756ENFidanSeyidovaGanja State University, Ganja, Azerbaijan.Journal Article20200217In 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.University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space951074472510.22130/scma.2020.118420.722ENNurcanBilgili GungorDepartment of Mathematics, Faculty of Science and Arts, Amasya University, 05000, Amasya, Turkey.0000-0001-5069-5881DuranTurkogluDepartment of Mathematics, Faculty of Science, Gazi University, 06500, Ankara, Turkey.0000-0002-8667-1432Journal Article20191211In 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.