Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 579567, 17 pages
doi:10.1155/2010/579567
Research Article

On Refinements of Aczél, Popoviciu, Bellman's Inequalities and Related Results

G. Farid,1 J. Pečarić,1,2 and Atiq Ur Rehman1

1Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore 54600, Pakistan
2Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

Received 11 July 2010; Revised 18 September 2010; Accepted 27 November 2010

Academic Editor: Q. Lan

Copyright © 2010 G. Farid 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 some refinements of the inequalities of Aczél, Popoviciu, and Bellman. Also, we give some results related to power sums.