Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001Approximation with Certain Szász–Mirakyan Operators90974734710.22034/kjm.2017.47347ENVijayGuptaDepartment of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.NehaMalikDepartment of Mathematics, Netaji Subhas Institute of Technology, Sector
3 Dwarka, New Delhi-110078, India.Journal Article20170518In the current article, we consider different growth conditions for studying the well known <span>Szász</span><span>–</span><span>Mirakyan</span> operators, which were introduced in the mid-twentieth century. Here, we obtain a new approach to find the moments using the concept of moment generating functions. Further, we discuss a uniform estimate and compare convergence behavior with the recently studied one.http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001New Inequalities of Hermite-Hadamard Type for Log-Convex Functions981154745810.22034/kjm.2017.47458ENSilvestru SeverDragomir1-Mathematics, College of Engineering & Science, Victoria University, PO
Box 14428, Melbourne City, MC 8001, Australia.
2-DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa.0000-0003-2902-6805Journal Article20170411Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001Linear Preservers of Right SGUT-Majorization on $mathbb{R}_{n}$1161334922910.22034/kjm.2017.49229ENAhmadMohammadhasaniDepartment of Mathematics, Sirjan University of Technology, Sirjan, Iran.AsmaIlkhanizadeh ManeshDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box:
7713936417, Rafsanjan, Iran.Journal Article20170315A matrix $R$ is called a $textit{generalized row substochastic}$ (g-row substochastic) if the sum of entries on every row of $R$ is less than or equal to one. For $x$, $y in mathbb{R}_{n}$, it is said that $x$ is $textit{rsgut-majorized}$ by $y$ (denoted by $ x prec_{rsgut} y$ ) if there exists an $n$-by-$n$ upper triangular g-row substochastic matrix $R$ such that $x=yR$. In the present paper, we characterize the linear preservers and strong linear preservers of rsgut-majorization on<br />$mathbb{R}_{n}$.http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function1341464937010.22034/kjm.2017.49370ENParmeshwary DayalSrivastavaDepartment of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.Sanjay KumarMahtoDepartment of Mathematics, Indian Institute of Technology, Kharagpur
721302, India.Journal Article20170710A class of vector-valued sequence spaces is introduced employing the fractional difference operator $Delta^{(alpha)}$, a sequence of modulus functions and a non-negative infinite matrix. Sequence spaces of this class generalize many sequence spaces which are defined by difference operators and modulus functions. It is proved that the spaces of this class are complete paranormed spaces under certain conditions. Some properties of these spaces are studied and it is shown that the spaces are not solid in general.http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter1471594947710.22034/kjm.2017.49477ENAlokKumarDepartment of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar-
249411, Uttarakhand, India.0000-0002-5171-1393Journal Article20170513In the present paper, we introduce a Stancu type generalization of generalized Srivastava-Gupta operators based on certain parameter. We obtain the moments of the operators and then prove the basic convergence theorem. Next, the Voronovskaja type asymptotic formula and some direct results for the above operators are discussed. Also, weighted approximation and rate of convergence by these operators in terms of modulus of continuity are studied. Then, we obtain point-wise estimates using the Lipschitz type maximal function. Lastly, we propose a King type modification of these operators to obtain better estimates.http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator1601715039610.22034/kjm.2017.50396ENAbbas KareemWanasDepartment of Mathematics, College of Science, Baghdad University, Iraq.Abdulrahman H.MajeedDepartment of Mathematics, College of Science, Baghdad University, Iraq.Journal Article20170613In the present paper, we introduce and study a new class of higher-order derivatives multivalent analytic functions in the open unit disk and closed unit disk of the complex plane by using linear operator. Also we obtain some interesting properties of this class and discuss several strong differential subordinations for higher-order derivatives of multivalent analytic functions.http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001Holomorphic Structure of Middle Bol Loops1721845111110.22034/kjm.2017.51111ENTemitope GbolahanJaiyeolaDepartment Of Mathematics, Faculty of Science, Obafemi Awolowo University,
Ile-Ife, Nigeria.0000-0002-8695-5478Sunday PeterDavidDepartment Of Mathematics, Faculty of Science, Obafemi Awolowo University, Ile-Ife, NigeriaEmmanuelIlojideDepartment Of Mathematics, College of Physical Sciences,
Federal University of Agriculture, Abeokuta, Nigeria.Yakubu TundeOyeboDepartment Of Mathematics, Faculty of Science, Lagos State University, Lagos, Nigeria.Journal Article20170923A loop $(Q,cdot,backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yzbackslash x)=(x/z)(ybackslash x)$.<br />To every right (left) Bol loop corresponds a middle Bol loop via an isostrophism. In this paper, the structure of the holomorph of a middle Bol loop is explored. For some special types of automorphisms, the holomorph of a commutative loop is shown to be a commutative middle Bol loop if and only if the loop is a middle Bol loop and its automorphism group is abelian and a subgroup of both the group of middle regular mappings and the right multiplication group. It was found that commutativity (flexibility) is a necessary and sufficient condition for holomorphic invariance under the existing isostrophy between middle Bol loops and the corresponding right (left) Bol loops. The right combined holomorph of a middle Bol loop and its corresponding right (left) Bol loop was shown to be equal to the holomorph of the middle Bol loop if and only if the automorphism group is abelian and a subgroup of the multiplication group of the middle Bol loop. The obedience of an identity dependent on automorphisms was found to be a necessary and sufficient condition for the left combined holomorph of a middle Bol loop and its corresponding left Bol loop to be equal to the holomorph of the middle Bol loop.http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdfDepartment of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47883220171001New Properties Under Generalized Contractive Conditions1851945118010.22034/kjm.2017.51180ENHakimaBouhadjeraLaboratory of Applied Mathematics
Badji Mokhtar-Annaba University
P.O. Box 12, 23000 Annaba, AlgeriaJournal Article20170714The aim of this contribution is to establish some common fixed point<br />theorems for single and set-valued maps under contractive conditions of<br />integral type on a symmetric space. These maps are assumed to satisfy new<br />properties which extend the results of Aliouche [3], Aamri and El<br />Moutawakil [2] and references therein, also they generalize the<br />notion of non-compatible and non-$delta$-compatible maps in the setting of<br />symmetric spaces.http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf