Estimation of Shannon entropy and divergences by Levinson-type inequalities using new Green functions via Lidstone polynomial

Year 2026, Issue: Advanced Online Publication, 1 - 23

Awais Rasheed , Khuram Ali Khan , Josip Pecaric , Dilda Pecaric

https://doi.org/10.15672/hujms.1671547

Abstract

This paper is devoted to obtain generalized results related to Levinson type inequalities for (2n + 1)-convex functions (n > 1) using new Green functions, along with Lidstone interpolating polynomial. Some new estimations for novel functionals are derived using Csiszár divergence and Shannon entropies. Furthermore, various new inequalities for Kullback-Leibler divergence, Bhattacharyya coefficient, Jeffrey’s distance and Triangular discrimination are presented.

Keywords

Levinson’s inequality , Jeffrey’s distance , Lidstone polynomial , Shannon entropy

References

• [1] M. Adeel, K. A. Khan, Ð. Pečarić and J. Pečarić, Generalization of the Levinson inequality with applications to information theory, Journal of Inequalities and Applications, 2019(1), 230, 2019