Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 286845, 12 pages
Research Article

On Hadamard-Type Inequalities Involving Several Kinds of Convexity

1Department of Mathematics, K.K. Education Faculty, Atatürk University, Campus, 25240 Erzurum, Turkey
2Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia
3School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

Received 14 May 2010; Accepted 23 August 2010

Academic Editor: Sin E. I. Takahasi

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.


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 m-convex, and (α,m)-convex functions.