Open Access Research Article

Schur Convexity of Generalized Heronian Means Involving Two Parameters

Huan-Nan Shi1, Mihály Bencze2, Shan-He Wu3* and Da-Mao Li1

Author Affiliations

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

2 Department of Mathematics, Aprily Lajos High School, Str. Dupa Ziduri 3, 500026 Brasov, Romania

3 Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364000, China

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Journal of Inequalities and Applications 2008, 2008:879273 doi:10.1155/2008/879273


The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2008/1/879273


Received:2 September 2008
Accepted:26 December 2008
Published:8 January 2009

© 2008 The Author(s).

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

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.

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