Abstract

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.

Details

Title
Association of Jensen’s inequality for s-convex function with Csiszár divergence
Author
Muhammad Adil Khan 1 ; Hanif, Muhammad 2 ; Zareen Abdul Hameed Khan 3 ; Khurshid, Ahmad 4 ; Yu-Ming, Chu 5   VIAFID ORCID Logo 

1  College of Science, Hunan City University, Yiyang, China; Department of Mathematics, University of Peshawar, Peshawar, Pakistan 
2  College of Science, Hunan City University, Yiyang, China 
3  Department of Mathematics, Princess Nora bint Abdulrahman University, Riyadh, Saudi Arabia 
4  Department of Statistics, Islamia College University, Peshawar, Pakistan 
5  Department of Mathematics, Huzhou University, Huzhou, China 
Pages
1-14
Publication year
2019
Publication date
Jun 2019
Publisher
Springer Nature B.V.
ISSN
10255834
e-ISSN
1029242X
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13660-019-2112-9
ProQuest document ID
2236060168
Copyright
Journal of Inequalities and Applications is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.