Open Access Research Article

On Hadamard-Type Inequalities Involving Several Kinds of Convexity

Erhan Set1*, MEmin Özdemir1 and SeverS Dragomir2,3

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

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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.