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- Title
Improved bounds for the Jensen gap with applications in information theory.
- Authors
Ahmad, Khurshid; Khan, Muhammad Adil; Khan, Shahid; Yu-Ming Chu
- Abstract
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 experiments. Moreover, some new results are established for the Zipf-Mandelbrot entropy.
- Subjects
CONVEX functions; JENSEN'S inequality; INFORMATION theory
- Publication
ScienceAsia, 2022, Vol 48, Issue 6, p813
- ISSN
1513-1874
- Publication type
Article
- DOI
10.2306/scienceasia1513-1874.2022.108