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Journal of Function Spaces
Volume 2015, Article ID 919470, 8 pages
http://dx.doi.org/10.1155/2015/919470
Research Article

Functions Like Convex Functions

Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brlić Mažuranić 2, 35000 Slavonski Brod, Croatia

Received 30 July 2014; Accepted 6 October 2014

Academic Editor: Janusz Matkowski

Copyright © 2015 Zlatko Pavić. 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

The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.