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.
Main Authors: | , , , , |
---|---|
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 |
id |
doaj-2781f9e2cf5f485883e21492aca3a905 |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT madilkhan furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle AT galikhan furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle AT tali furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle AT tbatbold furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle AT akilicman furtherrefinementsofjensenstypeinequalitiesforthefunctiondefinedontherectangle |
_version_ |
1725186771165118464 |