Open Access Research Article

On Hadamard-Type Inequalities Involving Several Kinds of Convexity

Erhan Set1*, MEmin Özdemir1 and SeverS Dragomir23

Author Affiliations

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

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

3 School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

For all author emails, please log on.

Journal of Inequalities and Applications 2010, 2010:286845  doi:10.1155/2010/286845

Published: 26 August 2010

Abstract

We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functions but also obtain some new Hadamard-type inequalities for log-convex -convex, and -convex functions.