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

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...

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Bibliographic Details
Main Authors: Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02966-6
Description
Summary: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.
ISSN:1029-242X