- Hacettepe Journal of Mathematics and Statistics
- Vol: 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 Ansari, Khuram Ali Khan, Ammara Nosheen, Dilda Pecaric, Josip Pecaric
Pages : 817-833
Doi:10.15672/hujms.971154
View : 12 | Download : 4
Publication Date : 2022-06-01
Article Type : Research
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, Lidstone’s interpolating polynomial, information theory