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

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.