Estimation of entropies on time scales by Lidstone`s interpolation using Csiszár-type functional

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:3
Estimation of entropies on time scales by Lidstone`s interpolation using Csiszár-type functional

Estimation of entropies on time scales by Lidstone`s interpolation using Csiszár-type functional

Authors : Iqrar ANSARİ, Khuram Ali KHAN, Ammara NOSHEEN, Dilda PECARİC, Josip PECARİC

Pages : 817-833

Doi:10.15672/hujms.971154

View : 25 | Download : 10

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :The inequality containing Csiszár divergence on time scales is generalized for 2 n 2n -convex functions by using Lidstone interpolating polnomial. As an application, new entropic bounds on time scales are also computed. Several inequalities in quantum calculus and h h -discrete calculus are also established. The relationship between Shannon entropy, Kullback-Leibler divergence and Jeffreys distance with Zipf-Mandelbrot entropy are also established.
Keywords : time scales calculus, convex function, Lidstones interpolating polynomial, information theory

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