Estimation of divergence measures on time scales via Taylor’s polynomial and Green’s function with applications in q-calculus

Abstract

Abstract Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and h-discrete calculus are also established.

Keywords

• Taylor’s polynomial
• Quantum calculus
• Time scales calculus
• Green’s function