Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 389410, 9 pages
doi:10.1155/2008/389410
Research Article

On Logarithmic Convexity for Power Sums and Related Results

J. Pečarić1,2 and Atiq Ur Rehman2

1Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia
2Abdus Salam School of Mathematical Sciences, GC University, Lahore 54660, Pakistan

Received 28 March 2008; Revised 23 May 2008; Accepted 29 June 2008

Academic Editor: Martin j. Bohner

Copyright © 2008 J. Pečarić and Atiq Ur Rehman. 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 further consideration about logarithmic convexity for differences of power sums inequality as well as related mean value theorems. Also we define quasiarithmetic sum and give some related results.