Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Adil Khan M.¹,Khan G. Ali¹,Ali T.¹,Batbold T.²,Kiliçman A.³

Affiliation:

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

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

3. Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/214123.pdf

Reference15 articles.

1. On Some Improvements of the Jensen Inequality with Some Applications

2. Improvement of Jensen's Inequality in terms of Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications

3. Refinements of some majorization type inequalities

4. ON THE JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE

5. A parameter-dependent refinement of the discrete Jensen's inequality for convex and mid-convex functions

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