Estimations of Divergence Measures and Shannon Entropy Via Generalized Majorization Theorem Using Taylor’s Formula and Green Functions

Authors

  • Awais Rasheed
  • Khuram Ali Khan
  • Josip Peˇcari´c
  • Ðilda Peˇcari´c

Keywords:

Csisz´ar f-divergence; Shannon entropy; Kullback–Leibler distance; Taylor’s formula.

Abstract

In this paper, some results involving Csisz´ar f-divergence between two probability measures are presented with respect to generalized majorization theorem via Taylor’s formula and Green functions. In seek of applications, the special cases of obtained results are deduced in terms of Shannon entropy, Kullback-Leibler divergence, Bhattacharyya coefficient, Jeffrey’s distance and Triangular discrimination. 

Keywords: Csisz´ar f-divergence; Shannon entropy; Kullback–Leibler distance; Taylor’s formula.

2010 Mathematics Subject Classification. 26D15; 26D20; 94A17; 94A20

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Published

2026-04-15

How to Cite

Awais Rasheed, Khuram Ali Khan, Josip Peˇcari´c, & Ðilda Peˇcari´c. (2026). Estimations of Divergence Measures and Shannon Entropy Via Generalized Majorization Theorem Using Taylor’s Formula and Green Functions. Jordan Journal of Mathematics and Statistics, 19(1), 105–112. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1683

Issue

Vol. 19 No. 1 (2026)

Section

Articles