Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 643768, 6 pages
doi:10.1155/2010/643768
Research Article

General Convexity of Some Functionals in Seminormed Spaces and Seminormed Algebras

Todor Stoyanov

Department of Mathematics, Varna University of Economics, Boulevard Knyaz Boris I 77, Varna 9002, Bulgaria

Received 30 July 2010; Accepted 27 October 2010

Academic Editor: S. S. Dragomir

Copyright © 2010 Todor Stoyanov. 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 prove some results for convex combination of nonnegative functionals, and some corollaries are established.