Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 148102, 9 pages
doi:10.1155/2010/148102
Research Article

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions

Erhan Set,1 M. Emin Özdemir,2 and Sever S. Dragomir3

1Department of Mathematics, K. K. Education Faculty, Atatürk University, 25240 Erzurum, Turkey
2Graduate School of Natural and Applied Sciences, Ağrı İbrahim Çeçen University, Ağrı 04100, Turkey
3Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne 8001, Australia

Received 25 September 2009; Revised 25 March 2010; Accepted 31 March 2010

Academic Editor: Paolo E. Ricci

Copyright © 2010 Erhan Set 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 some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well. The analysis used in the proofs is fairly elementary and based on the use of the Minkowski, Hölder, and Young inequalities.