Comments on Jensen’s Inequalities
Authors :
Zlatko Pavic
Author Address :
Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Trg Ivane Brli´c Maˇzurani´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.