Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle

Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle

We give refinement of Jensen’s type inequalities given by Bakula and Pečarić (2006) for the co-ordinate convex function. Also we establish improvement of Jensen’s inequality for the convex function of two variables.

Bibliographic Details
Main Authors: M. Adil Khan, G. Ali Khan, T. Ali, T. Batbold, A. Kiliçman
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/214123
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spelling doaj-2781f9e2cf5f485883e21492aca3a9052020-11-25T01:07:32ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/214123214123Further Refinements of Jensen’s Type Inequalities for the Function Defined on the RectangleM. Adil Khan0G. Ali Khan1T. Ali2T. Batbold3A. Kiliçman4Department of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanInstitute of Mathematics, National University of Mongolia, P.O. Box 46A/104, 14201 Ulaanbaatar, MongoliaDepartment of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe give refinement of Jensen’s type inequalities given by Bakula and Pečarić (2006) for the co-ordinate convex function. Also we establish improvement of Jensen’s inequality for the convex function of two variables.http://dx.doi.org/10.1155/2013/214123
collection DOAJ
language English
format Article
sources DOAJ
author M. Adil Khan
G. Ali Khan
T. Ali
T. Batbold
A. Kiliçman
spellingShingle M. Adil Khan
G. Ali Khan
T. Ali
T. Batbold
A. Kiliçman
Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
Abstract and Applied Analysis
author_facet M. Adil Khan
G. Ali Khan
T. Ali
T. Batbold
A. Kiliçman
author_sort M. Adil Khan
title Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
title_short Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
title_full Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
title_fullStr Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
title_full_unstemmed Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
title_sort further refinements of jensen’s type inequalities for the function defined on the rectangle
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We give refinement of Jensen’s type inequalities given by Bakula and Pečarić (2006) for the co-ordinate convex function. Also we establish improvement of Jensen’s inequality for the convex function of two variables.
url http://dx.doi.org/10.1155/2013/214123
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AT galikhan furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle
AT tali furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle
AT tbatbold furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle
AT akilicman furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle
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