Volume no :11, Issue no: 1, March (2014)

CONVEX FUNCTIONS AND POSITIVE LINEAR FUNCTIONALS

Author's: Zlatko Pavić
Pages: [49] - [63]
Received Date: January 22, 2014
Submitted by:

Abstract

The paper connects convex functions and positive linear functionals incorporating the number inequalities to the linear functional theory. Some inequalities of affine combinations of numbers are transited to inequalities of positive linear functionals. The main tool in this work is the well-known Jensen’s inequality and its functional form.

Keywords

positive linear functional, affine combination, Jensen’s inequality.