Demonstration of the strength of strong convexity via Jensen's gap-Reference-Cited by-同舟云学术

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

Published:2023-04-06 Issue:4 Volume:72 Page:1019-1033
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

K Asia¹^ORCID,KHAN Shahid¹^ORCID

Affiliation:

1. University of Peshawar

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.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

Reference45 articles.

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