Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 879273, 9 pages
Research Article

Schur Convexity of Generalized Heronian Means Involving Two Parameters

Huan-Nan Shi,1 Mihály Bencze,2 Shan-He Wu,3 and Da-Mao Li1

1Department of Electronic Information, Teacher's College, Beijing Union University, Beijing 100011, China
2Department of Mathematics, Aprily Lajos High School, Str. Dupa Ziduri 3, 500026 Brasov, Romania
3Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364000, China

Received 2 September 2008; Accepted 26 December 2008

Academic Editor: A. Laforgia

Copyright © 2008 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.


The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities for generalized Heronian means.