Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 185089, 6 pages
Research Article

Jensen's Inequality for Convex-Concave Antisymmetric Functions and Applications

S. Hussain,1 J. Pečarić,1,2 and I. Perić3

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.


The weighted Jensen inequality for convex-concave antisymmetric functions is proved and some applications are given.