Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 102467, 14 pages
doi:10.1155/2010/102467
Research Article

More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity

S. Abramovich,1 G. Farid,2 and J. Pečarić2,3

1Department of Mathematics, University of Haifa, Haifa 31905, Israel
2Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan
3Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia

Received 26 March 2010; Accepted 4 August 2010

Academic Editor: S. S. Dragomir

Copyright © 2010 S. Abramovich 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

New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.