Comments on Jensen’s Inequalities

Zlatko Pavic

doi:10.26637/mjm203/018

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

Mathematics Subject Classification:

26A51, 52A40

Authors Imprint References Funding Related Articles Downloads

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

Pages: 308-314
Date Published: 01-07-2014
Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

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