ORIGINAL_ARTICLE
A Survey on Ostrowski Type Inequalities Related to Pompeiu's Mean Value Theorem
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
2015-01-01T11:23:20
2020-02-28T11:23:20
1
35
10.22034/kjm.2015.12284
Ostrowski inequality
Pompeiu's mean inequality
integral inequalities
special means
Silvestru S.
Dragomir
true
1
Mathematics, College of Engineering & Science, Victoria University, P.O.
Box 14428, Melbourne City, MC 8001, Australia.
Mathematics, College of Engineering & Science, Victoria University, P.O.
Box 14428, Melbourne City, MC 8001, Australia.
Mathematics, College of Engineering & Science, Victoria University, P.O.
Box 14428, Melbourne City, MC 8001, Australia.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Invariant Means on CHART Groups
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
2015-01-01T11:23:20
2020-02-28T11:23:20
36
44
10.22034/kjm.2015.12285
Topological group
invariant mean
Furstenberg's xed point theorem
Warren B.
Moors
true
1
Department of Mathematics, The University of Auckland, Pr ivate Bag 92019,
Auckland, New Zealand.
Department of Mathematics, The University of Auckland, Pr ivate Bag 92019,
Auckland, New Zealand.
Department of Mathematics, The University of Auckland, Pr ivate Bag 92019,
Auckland, New Zealand.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Generalizations of Steffensen's Inequality by Abel-Gontscharoff Polynomial
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
2015-01-01T11:23:20
2020-02-28T11:23:20
45
61
10.22034/kjm.2015.12286
Steffensen's inequality
Abel-Gontscharoff polynomial
Ostrowski type inequality
n_exponential convexity
Josip
Pečarič
true
1
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
AUTHOR
Anamarija
Perušić
true
2
Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´
51000 Rijeka, Croatia
Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´
51000 Rijeka, Croatia
Faculty of Civil Engineering, University of Rijeka, Radmile Matejciˇ c 3,´
51000 Rijeka, Croatia
AUTHOR
Ksenija
Smoljak
true
3
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovica 28a, 10000 Zagreb, Croatia´
LEAD_AUTHOR
ORIGINAL_ARTICLE
Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals
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
2015-01-01T11:23:20
2020-02-28T11:23:20
62
70
10.22034/kjm.2015.12287
Hermite-Hadamard type inequality
s−convex function
RiemannLiouville fractional integral
Erhan
Set
true
1
Department of Mathematics, Faculty of Science and Arts, Ordu University,
Ordu, Turkey
Department of Mathematics, Faculty of Science and Arts, Ordu University,
Ordu, Turkey
Department of Mathematics, Faculty of Science and Arts, Ordu University,
Ordu, Turkey
LEAD_AUTHOR
M. Emin
Özdemir
true
2
Ataturk University, K.K. Education Faculty, Department of Mathematics,¨
25240, Campus, Erzurum, Turkey
Ataturk University, K.K. Education Faculty, Department of Mathematics,¨
25240, Campus, Erzurum, Turkey
Ataturk University, K.K. Education Faculty, Department of Mathematics,¨
25240, Campus, Erzurum, Turkey
AUTHOR
M. Zeki
Sarikaya
true
3
Department of Mathematics, Faculty of Science and Arts, Duzce University,¨
Duzce, 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¨
AUTHOR
Filiz
Karakoç
true
4
Department of Mathematics, Faculty of Science and Arts, Duzce University,¨
Duzce, 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¨
AUTHOR
ORIGINAL_ARTICLE
Approximation Numbers of Composition Operators on Weighted Hardy Spaces
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
2015-01-01T11:23:20
2020-02-28T11:23:20
71
81
10.22034/kjm.2015.12288
Composition operator
weighted Hardy space
approximation number
Ajay K.
Sharma
true
1
School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-
182320, J& K, India.
School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-
182320, J& K, India.
School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-
182320, J& K, India.
LEAD_AUTHOR
Ambika
Bhat
true
2
Ambika Bhat, 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.
Ambika Bhat, School of Mathematics, Shri Mata Vaishno Devi University,
Kakryal, Katra-182320, J& K, India.
AUTHOR
ORIGINAL_ARTICLE
Star Selection Principles: A Survey
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
2015-01-01T11:23:20
2020-02-28T11:23:20
82
106
10.22034/kjm.2015.12289
Star selection principles
ASSM
selectively (a)
uniform selection principles
Ljubiša D.R.
Kočinac
true
1
University of Niˇs, Faculty of Sciences and Mathematics, 18000 Niˇs, Serbia
University of Niˇs, Faculty of Sciences and Mathematics, 18000 Niˇs, Serbia
University of Niˇs, Faculty of Sciences and Mathematics, 18000 Niˇs, Serbia
LEAD_AUTHOR
ORIGINAL_ARTICLE
Strongly Zeo-product Preserving Maps on Normed Algebras Induced by a Bounded Linear Functional
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
2015-01-01T11:23:20
2020-02-28T11:23:20
107
114
10.22034/kjm.2015.12290
(Jordan) zero-product preserving map
strongly (Jordan) zeroproduct preserving map
Arens product
polynomial equation
Ali Reza
Khoddami
true
1
Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-
316, Shahrood, Iran.
Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-
316, Shahrood, Iran.
Department of Pure Mathematics, University of Shahrood, P. O. Box 3619995161-
316, Shahrood, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some Integral Inequalities for α-, m-, (α-m)-Logarithmically Convex Functions
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
http://www.kjm-math.org/article_12291_b2574f963404b7c8037da1340966068e.pdf
2015-01-01T11:23:20
2020-02-28T11:23:20
115
124
10.22034/kjm.2015.12291
α-, m-
(α,m)-logarithmically convex, Hadamard's inequality,Hölder's inequality, power mean inequality, Cauchy's inequality
Mevlüt
Tunç
true
1
Department of Mathematics, Faculty of Science and Arts, Mustafa Kemal
University, Hatay, 31000, Turkey.
Department of Mathematics, Faculty of Science and Arts, Mustafa Kemal
University, Hatay, 31000, Turkey.
Department of Mathematics, Faculty of Science and Arts, Mustafa Kemal
University, Hatay, 31000, Turkey.
LEAD_AUTHOR
Ebru
Yüksel
true
2
Department of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙
C¸ ec¸en University, Agrı, 04000, Turkey.˘
Department of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙
C¸ ec¸en University, Agrı, 04000, Turkey.˘
Department of Mathematics, Faculty of Science and Arts, Agrı˘ Ibrahim˙
C¸ ec¸en University, Agrı, 04000, Turkey.˘
AUTHOR