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

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

Recommended by Lars-Erik Persson

Abstract

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