International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 315697, 15 pages
http://dx.doi.org/10.1155/2012/315697
Research Article

Refinements of Inequalities among Difference of Means

Huan-Nan Shi, Da-Mao Li, and Jian Zhang

Department of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, China

Received 21 June 2012; Accepted 10 September 2012

Academic Editor: Janusz Matkowski

Copyright © 2012 Huan-Nan Shi 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

In this paper, for the difference of famous means discussed by Taneja in 2005, we study the Schur-geometric convexity in (0, ∞) × (0, ∞) of the difference between them. Moreover some inequalities related to the difference of those means are obtained.