Association of Jensen’s inequality for s-convex function with Csiszár divergence

In the article, we establish an inequality for Csiszár divergence associated with s -convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s -convex functions in the Csiszár divergence. W...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 14
Main Authors Adil Khan, Muhammad, Hanif, Muhammad, Abdul Hameed Khan, Zareen, Ahmad, Khurshid, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 06.06.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Convex analysis
Convex function
Csiszár divergence
Divergence
Jensen’s inequality
Mathematics
Mathematics and Statistics
s-convex function
Csiszár divergence
39B62
Jensen’s inequality
Convex function
26A51
26D15
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Summary:In the article, we establish an inequality for Csiszár divergence associated with s -convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s -convex functions in the Csiszár divergence. We also provide new bounds for Bhattacharyya divergence.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2112-9