Demonstration of the strength of strong convexity via Jensen's gap

Authors : Asia K, Shahid Khan

Pages : 1019-1033

Doi:10.31801/cfsuasmas.1186649

View : 48 | Download : 140

Publication Date : 2023-12-29

Article Type : Research Paper

Abstract :This paper demonstrates through a numerical experiment that utilization of strongly convex functions strengthens the bound presented for the Jensen gap in [4]. Consequently the improved result enables to present improvements in the bounds obtained for the Hölder and Hermite-Hadamard gaps and proposes such improvements in the results obtained for various entropies and divergences in information theory.
Keywords : Jensen inequality, strong convex function, Hölder inequality, Hermite Hadamard ineguality, Taylor formula