eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
1
35
10.22034/kjm.2015.12284
12284
A Survey on Ostrowski Type Inequalities Related to Pompeiu's Mean Value Theorem
Silvestru S. Dragomir
1
Mathematics, College of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne City, MC 8001, Australia.
In 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.pdf
Ostrowski inequality
Pompeiu's mean inequality
integral inequalities
special means
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
36
44
10.22034/kjm.2015.12285
12285
Invariant Means on CHART Groups
Warren B. Moors
1
Department of Mathematics, The University of Auckland, Pr ivate Bag 92019, Auckland, New Zealand.
The 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.pdf
Topological group
invariant mean
Furstenberg's xed point theorem
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
45
61
10.22034/kjm.2015.12286
12286
Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial
Josip Pečarič
1
Anamarija Perušić
2
Ksenija Smoljak
3
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´ 51000 Rijeka, Croatia
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
In 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.pdf
Steffensen's inequality
Abel-Gontscharoff polynomial
Ostrowski type inequality
n_exponential convexity
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
62
70
10.22034/kjm.2015.12287
12287
Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals
Erhan Set
1
M. Emin Özdemir
2
M. Zeki Sarikaya
3
Filiz Karakoç
4
Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey
Ataturk University, K.K. Education Faculty, Department of Mathematics,¨ 25240, Campus, Erzurum, Turkey
Department of Mathematics, Faculty of Science and Arts, Duzce University,¨ Duzce, Turkey¨
Department of Mathematics, Faculty of Science and Arts, Duzce University,¨ Duzce, Turkey¨
In 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.pdf
Hermite-Hadamard type inequality
s−convex function
RiemannLiouville fractional integral
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
71
81
10.22034/kjm.2015.12288
12288
Approximation Numbers of Composition Operators on Weighted Hardy Spaces
Ajay K. Sharma
1
Ambika Bhat
2
School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra- 182320, J& K, India.
Ambika Bhat, School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-182320, J& K, India.
In 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.pdf
Composition operator
weighted Hardy space
approximation number
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
82
106
10.22034/kjm.2015.12289
12289
Star Selection Principles: A Survey
Ljubiša D.R. Kočinac
1
University of Niˇs, Faculty of Sciences and Mathematics, 18000 Niˇs, Serbia
We 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.pdf
Star selection principles
ASSM
selectively (a)
uniform selection principles
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
107
114
10.22034/kjm.2015.12290
12290
Strongly Zeo-product Preserving Maps on Normed Algebras Induced by a Bounded Linear Functional
Ali Reza Khoddami
1
Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161- 316, Shahrood, Iran.
We 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.pdf
(Jordan) zero-product preserving map
strongly (Jordan) zeroproduct preserving map
Arens product
polynomial equation
eng
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
2423-4788
2015-01-01
1
1
115
124
10.22034/kjm.2015.12291
12291
Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions
Mevlüt Tunç
1
Ebru Yüksel
2
Department of Mathematics, Faculty of Science and Arts, Mustafa Kemal University, Hatay, 31000, Turkey.
Department of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙ C¸ ec¸en University, Agrı, 04000, Turkey.˘
In 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
α-, m-
(α,m)-logarithmically convex, Hadamard's inequality,Hölder's inequality, power mean inequality, Cauchy's inequality