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Some inequalities related to Csiszár divergence via diamond integral on time scales

Authors :
Muhammad Bilal
Khuram Ali Khan
Ammara Nosheen
Josip Pečarić
Source :
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-22 (2023)
Publication Year :
2023
Publisher :
SpringerOpen, 2023.

Abstract

Abstract In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented. Some examples are presented for different divergence measures by fixing time scales. Some divergence measures are estimated in terms of logarithmic, identric, geometric, and arithmetic means. The obtained results generalize some known results in the literature and provide new bounds for some divergence measures in q-calculus.

Details

Language :
English
ISSN :
1029242X
Volume :
2023
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Journal of Inequalities and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.76113d9e64aa48319cfc23ff0822cbd6
Document Type :
article
Full Text :
https://doi.org/10.1186/s13660-023-02966-6