Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 507560, 11 pages
doi:10.1155/2010/507560
Research Article

The Hermite-Hadamard Type Inequality of GA-Convex Functions and Its Application

Xiao-Ming Zhang, Yu-Ming Chu, and Xiao-Hui Zhang

Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 7 April 2009; Revised 29 January 2010; Accepted 1 February 2010

Academic Editor: Andrea Laforgia

Copyright © 2010 Xiao-Ming Zhang 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 established a new Hermit-Hadamard type inequality for GA-convex functions. As applications, we obtain two new Gautschi type inequalities for gamma function.