Some inequalities related to Csiszár divergence via diamond integral on time scales

Abstract

Abstract In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented. Some examples are presented for different divergence measures by fixing time scales. Some divergence measures are estimated in terms of logarithmic, identric, geometric, and arithmetic means. The obtained results generalize some known results in the literature and provide new bounds for some divergence measures in q-calculus.

Keywords

• Time scales calculus
• Quantum calculus
• Csiszár divergence
• Diamond integral