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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Veröffentlicht in:Journal of mathematical analysis and applications Jg. 434; H. 1; S. 516 - 522
Hauptverfasser: Klaričić Bakula, Milica, Nikodem, Kazimierz
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.02.2016
Schlagworte:
Converse Jensen inequality
Converse Jessen inequality
Jensen inequality
Jessen inequality
Strongly convex functions
Converse Jessen inequality
Strongly convex functions
Converse Jensen inequality
Jensen inequality
Jessen inequality
ISSN:0022-247X, 1096-0813
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Zusammenfassung: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