New entropy bounds via uniformly convex functions

In this paper we give extensions of Jensen’s discrete inequality considering the class of uniformly convex functions. We also introduce lower and upper bounds for Jensen’s inequality (for uniformly convex functions), and we apply this results in information theory and obtain new and strong bounds fo...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 141; p. 110360
Main Author Sayyari, Yamin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2020
Subjects
Bounds
Jensen’s inequality
Refinements
Shannon’s entropy
Uniformly convex function
Jensen’s inequality
37B40
26D20
Shannon’s entropy
Bounds
94A17
Refinements
26B25
Uniformly convex function
26D15
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Summary:In this paper we give extensions of Jensen’s discrete inequality considering the class of uniformly convex functions. We also introduce lower and upper bounds for Jensen’s inequality (for uniformly convex functions), and we apply this results in information theory and obtain new and strong bounds for Shannon’s entropy of a probability distribution.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2020.110360