Volume no :24, Issue no: 1, November

INEQUALITIES USING CONVEX COMBINATION CENTERS AND SET BARYCENTERS

Author's: ZLATKO PAVIĆ
Pages: [29] - [46]
Received Date: November 30, 2013
Submitted by:

Abstract

The article demonstrates the importance of convex combination centers and set barycenters in creating Jensen’s inequalities. Center and barycenter properties are used to the formulation of Jensen’s inequality for functions that are convex at one side of its domain.

Keywords

convex combination, barycenter, Jensen’s inequality, quasi-arithmetic mean.