Improved bounds for the Jensen gap with applications in information theory
Improved bounds for the Jensen gap with applications in information theory
In this article, we utilize strongly convex functions to improve some upper bounds of Jensen's gap presented in [IEEE Access 8 (2020):98001-98008, Adv Differ Equ 2020 (2020):333].This leads us towards the improvement of some existing results around various divergences, the Hermite-Hadamard and Hölder inequalities.We also demonstrate these improvements via numerical …