Comments on Jensen’s Inequalities

Zlatko Pavic

Comments on Jensen’s Inequalities

Authors :

Zlatko Pavic

Author Address :

Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brli´c MaË‡zurani´c 2,35000 Slavonski Brod, Croatia.

Abstract :

The paper gives generalizations of some Jensen type inequalities for convex functions of one variable. The work is based on the methods which use convex combinations in deriving inequalities. The main inequality is applied to the quasi-arithmetic means.

Keywords :

Affine combination, convex combination, convex function, Jensen’s inequality

DOI :

Article Info :

Received : August 20, 2013; Accepted : May 02, 2014.