Further Refinements of Jensen’s Type Inequalities for the Function Defined on the RectangleReport as inadecuate




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Abstract and Applied AnalysisVolume 2013 2013, Article ID 214123, 8 pages

Research Article

Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

Institute of Mathematics, National University of Mongolia, P.O. Box 46A-104, 14201 Ulaanbaatar, Mongolia

Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia UPM, 43400 Serdang, Selangor, Malaysia

Received 26 September 2013; Accepted 10 November 2013

Academic Editor: Abdullah Alotaibi

Copyright © 2013 M. Adil Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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





Author: M. Adil Khan, G. Ali Khan, T. Ali, T. Batbold, and A. Kiliçman

Source: https://www.hindawi.com/



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