Volume no :14, Issue no: 1, September (2015)

Journal of Algebra, Number Theory: Advances and Applications

POSITIVE LINEAR FUNCTIONALS WITH CONVEX AND PREINVEX FUNCTIONS

Author's: Zlatko Pavić
Pages: [11] - [26]
Received Date: July 13, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121522

Abstract

The paper considers the functional form of Jensen’s inequality and its applications. The paper offers the extension of this functional form and its usage in creating the most important inequalities for convex functions. In particular, the Jensen and Hermite-Hadamard inequality are applied to preinvex functions.

Keywords

positive linear functional, convex function, preinvex function.