Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 128486, 14 pages
doi:10.1155/2009/128486
Research Article

Some New Results Related to Favard's Inequality

Naveed Latif,1 J. Pečarić,1,2 and I. Perić3

1Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan
2Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia
3Faculty of Food Technology and Biotechnology, University of Zagreb, 10000 Zagreb, Croatia

Received 31 July 2008; Revised 17 January 2009; Accepted 5 February 2009

Academic Editor: A. Laforgia

Copyright © 2009 Naveed Latif 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

Log-convexity of Favard's difference is proved, and Drescher's and Lyapunov's type inequalities for this difference are deduced. The weighted case is also considered. Related Cauchy type means are defined, and some basic properties are given.