Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 286845, 12 pages
doi:10.1155/2010/286845
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.
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 m-convex, and (α,m)-convex functions.