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

Year 2026, Volume: 55 Issue: 2 , 450 - 472 , 29.04.2026

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

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

https://izlik.org/JA86HS59MZ

Abstract

The 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 of bounds for Csiszár divergence and Shannon entropies are derived using novel functionals. Furthermore, various new inequalities involving Kullback-Leibler divergence, Bhattacharyya coefficient, Jeffrey's distance and Triangular discrimination are presented.

Keywords

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

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