Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 078175, 10 pages
doi:10.1155/2007/78175
Research Article

Schur-Convexity of Two Types of One-Parameter Mean Values in n Variables

Ning-Guo Zheng,1 Zhi-Hua Zhang,2 and Xiao-Ming Zhang3

1Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China
2Zixing Educational Research Section, Chenzhou, Hunan 423400, China
3Haining College, Zhejiang Broadcast and TV University, Haining, Zhejiang 314400, China

Received 10 July 2007; Revised 9 October 2007; Accepted 9 November 2007

Academic Editor: Simeon Reich

Copyright © 2007 Ning-Guo Zheng 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 establish Schur-convexities of two types of one-parameter mean values in n variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.