Estimation of divergence measures via weighted Jensen inequality on time scales

Author:

Ansari Iqrar,Khan Khuram Ali,Nosheen Ammara,Pečarić Ðilda,Pečarić Josip

Abstract

AbstractThe main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality. These results offer new inequalities in h-discrete calculus and quantum calculus and extend some known results in the literature. The lower bounds of some divergence measures are also presented. Moreover, the obtained discrete results are given in the light of the Zipf–Mandelbrot law and the Zipf law.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some inequalities related to Csiszár divergence via diamond integral on time scales;Journal of Inequalities and Applications;2023-04-14

2. Generalization of Some Bounds containing Entropies on Time Scales;Qualitative Theory of Dynamical Systems;2023-03-17

3. Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional;Hacettepe Journal of Mathematics and Statistics;2022-06-01

4. New entropic bounds on time scales via Hermite interpolating polynomial;Journal of Inequalities and Applications;2021-12

5. Estimation of divergences on time scales via the Green function and Fink’s identity;Advances in Difference Equations;2021-08-24

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