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

ONE GENERALIZED INEQUALITY FOR CONVEX FUNCTIONS ON THE TRIANGLE

Author's: Zlatko Pavić
Pages: [77] - [87]
Received Date: August 23, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121534

Abstract

The aim of the paper is to obtain a very general inequality for convex functions on the triangle. To construct such inequality, we include positive linear functionals on the space of real functions. That inequality can be applied to various forms of mathematical means, and its integral form contains the Jensen, Fejér and Hermite-Hadamard inequality.

Keywords

convex function, triangle, space of real functions, positive linear functional.