Open Access Research Article

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

Erhan Set1*, MEmin Özdemir2 and SeverS Dragomir3

Author Affiliations

1 Department of Mathematics, K. K. Education Faculty, Atatürk University, 25240 Erzurum, Turkey

2 Graduate School of Natural and Applied Sciences, Ağrı İbrahim Çeçen University, Ağrı 04100, Turkey

3 Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne 8001, Australia

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Journal of Inequalities and Applications 2010, 2010:148102  doi:10.1155/2010/148102

Published: 24 May 2010

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.