Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 185089, 6 pages
doi:10.1155/2008/185089
Research Article
Jensen's Inequality for Convex-Concave Antisymmetric Functions and Applications
1Abdus Salam School of Mathematical Sciences, GC University Lahore, Gulberge, Lahore 54660, Pakistan
2Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia
3Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
Received 21 February 2008; Accepted 9 September 2008
Academic Editor: Lars-Erik Persson
Copyright © 2008 S. Hussain 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
The weighted Jensen inequality for convex-concave antisymmetric
functions is proved and some applications are given.