2021-04-13T12:33:56Z
http://www.kjm-math.org/?_action=export&rf=summon&issue=2103
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
A Survey on Ostrowski Type Inequalities Related to Pompeiu's Mean Value Theorem
Silvestru S.
Dragomir
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.
Ostrowski inequality
Pompeiu's mean inequality
integral inequalities
special means
2015
01
01
1
35
http://www.kjm-math.org/article_12284_af45b6a7333b951a57b6824037c7f2f1.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Invariant Means on CHART Groups
Warren B.
Moors
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.
Topological group
invariant mean
Furstenberg's xed point theorem
2015
01
01
36
44
http://www.kjm-math.org/article_12285_6bc81ee57016ba8697ba66be2d2c5808.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial
Josip
Pečarič
Anamarija
Perušić
Ksenija
Smoljak
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.
Steffensen's inequality
Abel-Gontscharoff polynomial
Ostrowski type inequality
n_exponential convexity
2015
01
01
45
61
http://www.kjm-math.org/article_12286_591d273366dd3ffe68de2b826be60f2e.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals
Erhan
Set
M. Emin
Özdemir
M. Zeki
Sarikaya
Filiz
Karakoç
In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s−convex in the second sense and concave.
Hermite-Hadamard type inequality
s−convex function
RiemannLiouville fractional integral
2015
01
01
62
70
http://www.kjm-math.org/article_12287_66450089acf1d99d142618724dd09acc.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Approximation Numbers of Composition Operators on Weighted Hardy Spaces
Ajay K.
Sharma
Ambika
Bhat
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:
Composition operator
weighted Hardy space
approximation number
2015
01
01
71
81
http://www.kjm-math.org/article_12288_4a020ff86c83907640bf945ed0fd20ac.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Star Selection Principles: A Survey
Ljubiša D.R.
Kočinac
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.
Star selection principles
ASSM
selectively (a)
uniform selection principles
2015
01
01
82
106
http://www.kjm-math.org/article_12289_aaa2b7fd611237872880bdae2d7d649d.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Strongly Zeo-product Preserving Maps on Normed Algebras Induced by a Bounded Linear Functional
Ali Reza
Khoddami
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.
(Jordan) zero-product preserving map
strongly (Jordan) zeroproduct preserving map
Arens product
polynomial equation
2015
01
01
107
114
http://www.kjm-math.org/article_12290_710c39152e24a4b3dbb3fcee40265094.pdf
Khayyam Journal of Mathematics
Khayyam J. Math.
2015
1
1
Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions
Mevlüt
Tunç
Ebru
Yüksel
In this paper, the authors establish some Hermite-Hadamard type inequalities by using elementary inequalities for functions whose first derivative absolute values are α-, m-, (α, m)-logarithmically convex
α-, m-
(α,m)-logarithmically convex, Hadamard's inequality,Hölder's inequality, power mean inequality, Cauchy's inequality
2015
01
01
115
124
http://www.kjm-math.org/article_12291_b2574f963404b7c8037da1340966068e.pdf