Abstract and Applied Analysis
Volume 2012 (2012), Article ID 168405, 16 pages
http://dx.doi.org/10.1155/2012/168405
Research Article

Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications

S. S. Dragomir1,2

1Mathematics, School of Engineering and Science, Victoria University, P.O. Box 14428, Melbourne City, MC 8001, Australia
2School of Computational and Applied Mathematics, University of The Witwatersrand, Private Bag 3, Wits, Johannesburg 2050, South Africa

Received 28 September 2011; Accepted 18 December 2011

Academic Editor: Elena Braverman

Copyright © 2012 S. S. Dragomir. 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

Some inequalities of the Slater type for convex functions defined on general linear spaces are given. Applications for norm inequalities and f-divergence measures are also provided.