New entropic bounds on time scales via Hermite interpolating polynomial

Abstract

Abstract Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár divergence on time scales. New entropic bounds in q-calculus and h-discrete calculus are also deduced. Some estimates for Zipf–Mandelbrot entropy are also given.

Keywords

• Hermite interpolating polynomial
• Time scales calculus
• Quantum calculus
• Information theory