Some Inequalities Involving Csisz´ar Divergence Using a Montgomery Identity and Green Function Via Diamond integrals

Authors

  • Muhammad Bilal
  • Khuram Ali Khan
  • Ammara Nosheen
  • Josip Peˇcaric

Keywords:

divergence measures; Montgomery identity; diamond integral; Green’s function.

Abstract

In the present paper, some results involving Csisz´ar divergence are formulated via diamond integrals by using Montgomery ´identity and Green function. By selecting various kinds of convex functions, bound of different entropies and divergence measures are obtained. Further, new bounds of different divergence measures are deduced.

Keywords: divergence measures; Montgomery identity; diamond integral; Green’s function.

2010 Mathematics Subject Classification. 39B62; 26A33; 05A30

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Published

2025-04-09

How to Cite

Muhammad Bilal, Khuram Ali Khan, Ammara Nosheen, & Josip Peˇcaric. (2025). Some Inequalities Involving Csisz´ar Divergence Using a Montgomery Identity and Green Function Via Diamond integrals. Jordan Journal of Mathematics and Statistics, 18(1), 35–54. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/663

Issue

Vol. 18 No. 1 (2025)

Section

Articles