On the converse Jensen inequality for strongly convex functions

Counterparts of the converse Jensen inequality for strongly convex and strongly midconvex functions are presented. The Jessen inequality and converse Jessen inequality (involving linear positive normalized functionals) for strongly convex functions are also given.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 434; no. 1; pp. 516 - 522
Main Authors: Klaričić Bakula, Milica, Nikodem, Kazimierz
Format: Journal Article
Language:English
Published: Elsevier Inc 01.02.2016
Subjects:
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:Counterparts of the converse Jensen inequality for strongly convex and strongly midconvex functions are presented. The Jessen inequality and converse Jessen inequality (involving linear positive normalized functionals) for strongly convex functions are also given.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.09.032