Improvements of Jensen's inequality and its converse for strongly convex functions with applications to strongly f-divergences

In this paper, using the class of strongly convex functions, which is subclass of convex functions with stronger versions of analogous properties, we get improvements of Jessen's and Jensen's inequalities, their converses as well as related Jensen-type interpolating inequalities which pres...

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Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 531; H. 2; S. 127866
1. Verfasser:	Ivelić Bradanović, Slavica
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 15.03.2024
Schlagworte:	Csiszár f-divergence Jensen's inequality Jessen's inequality Kullback-Leibler divergence Strongly convex functions Strongly f-divergences Csiszár f-divergence Jensen's inequality Strongly convex functions Strongly f-divergences Kullback-Leibler divergence Jessen's inequality
ISSN:	0022-247X, 1096-0813
Online-Zugang:	Volltext
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