Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 78175, 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 314400, Zhejiang, China
Received 10 July 2007; Revised 9 October 2007; Accepted 9 November 2007

Recommended by Simeon Reich

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.