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 Mathematics2423-47881120150101A Survey on Ostrowski Type Inequalities Related to Pompeiu's Mean Value Theorem1351228410.22034/kjm.2015.12284ENSilvestru S.DragomirMathematics, College of Engineering & Science, Victoria University, P.O.
Box 14428, Melbourne City, MC 8001, Australia.Journal Article20151231In this paper we survey some recent results obtained by the author related to Pompeiu's mean value theorem and inequality. Natural applications to Ostrowski type inequalities that play an important role in Numerical Analysis, Approximation Theory, Probability Theory & Statistics, Information Theory and other fields, are given as well.http://www.kjm-math.org/article_12284_af45b6a7333b951a57b6824037c7f2f1.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 Mathematics2423-47881120150101Invariant Means on CHART Groups36441228510.22034/kjm.2015.12285ENWarren B.MoorsDepartment of Mathematics, The University of Auckland, Pr ivate Bag 92019,
Auckland, New Zealand.Journal Article20151231The purpose of this paper is to give a stream-lined proof of the existence and uniqueness of a right-invariant mean on a CHART group. A CHART group is a slight generalisation of a compact topological group. The existence of an invariant mean on a CHART group can be used to prove Furstenberg's fixed point theorem.http://www.kjm-math.org/article_12285_6bc81ee57016ba8697ba66be2d2c5808.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 Mathematics2423-47881120150101Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial45611228610.22034/kjm.2015.12286ENJosipPečaričFaculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´AnamarijaPerušićFaculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´
51000 Rijeka, CroatiaKsenijaSmoljakFaculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´Journal Article20151231In this paper generalizations of Steffensen's inequality using Abel- Gontscharoff interpolating polynomial are obtained. Moreover, in a special case generalizations by Abel-Gontscharoffpolynomial reduce to known weaker conditions for Steffensen's inequality. Furthermore, Ostrowski type inequalities related to obtained generalizations are given.http://www.kjm-math.org/article_12286_591d273366dd3ffe68de2b826be60f2e.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 Mathematics2423-47881120150101Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals62701228710.22034/kjm.2015.12287ENErhanSetDepartment of Mathematics, Faculty of Science and Arts, Ordu University,
Ordu, TurkeyM. EminÖzdemirAtaturk University, K.K. Education Faculty, Department of Mathematics,¨
25240, Campus, Erzurum, TurkeyM. ZekiSarikayaDepartment of Mathematics, Faculty of Science and Arts, Duzce University,¨
Duzce, Turkey¨FilizKarakoçDepartment of Mathematics, Faculty of Science and Arts, Duzce University,¨
Duzce, Turkey¨Journal Article20151231In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s−convex in the second sense and concave.http://www.kjm-math.org/article_12287_66450089acf1d99d142618724dd09acc.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 Mathematics2423-47881120150101Approximation Numbers of Composition Operators on Weighted Hardy Spaces71811228810.22034/kjm.2015.12288ENAjay K.SharmaSchool of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-
182320, J& K, India.AmbikaBhatAmbika Bhat, School of Mathematics, Shri Mata Vaishno Devi University,
Kakryal, Katra-182320, J& K, India.Journal Article20151231In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ:http://www.kjm-math.org/article_12288_4a020ff86c83907640bf945ed0fd20ac.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 Mathematics2423-47881120150101Star Selection Principles: A Survey821061228910.22034/kjm.2015.12289ENLjubiša D.R.KočinacUniversity of Niˇs, Faculty of Sciences and Mathematics, 18000 Niˇs, SerbiaJournal Article20151231We review selected results obtained in the last fifteen years on star selection principles in topology, an important subfield of the field of selection principles theory. The results which we discuss concern also uniform structures and, in particular, topological groups and their generalizations.http://www.kjm-math.org/article_12289_aaa2b7fd611237872880bdae2d7d649d.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 Mathematics2423-47881120150101Strongly Zeo-product Preserving Maps on Normed Algebras Induced by a Bounded Linear Functional1071141229010.22034/kjm.2015.12290ENAli RezaKhoddamiDepartment of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-
316, Shahrood, Iran.Journal Article20151231We introduce the notions of strongly zero-product (strongly Jordan zero-product) preserving maps on normed algebras. These notions are generalization of the concepts of zero-product and Jordan zero-product preserving maps. Also for a non-zero vector space V and for a non-zero linear functional f on V, we equip V with a multiplication, converting V into an associative algebra, denoted by Vf . We characterize the zero-product (Jordan zero-product) preserving maps on Vf . Also we characterize the strongly zero-product (strongly Jordan zero-product) preserving maps on Vf in the case where V is a normed vector space and f is a continuous linear functional on V. Finally, for polynomials in one variable x over Vf , we shall show that each polynomial of precise degree n ≥ 0, with non-zero constant term has precisely n-zeros (counted with multiplicity) in Vf . While, polynomials of precise degree n ≥ 2, with zero constant term have infinitely many zeros when dim(V) ≥2. This shows that the algebraic fundamental theorem for polynomial equations over an arbitrary algebra, is not valid in general.http://www.kjm-math.org/article_12290_710c39152e24a4b3dbb3fcee40265094.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 Mathematics2423-47881120150101Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions1151241229110.22034/kjm.2015.12291ENMevlütTunçDepartment of Mathematics, Faculty of Science and Arts, Mustafa Kemal
University, Hatay, 31000, Turkey.EbruYükselDepartment of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙
C¸ ec¸en University, Agrı, 04000, Turkey.˘Journal Article20151231In this paper, the authors establish some Hermite-Hadamard type inequalities by using elementary inequalities for functions whose first derivative absolute values are α-, <em>m-</em>, (α, m)-logarithmically convex http://www.kjm-math.org/article_12291_b2574f963404b7c8037da1340966068e.pdf