A new refinement of Jensen’s inequality with applications in information theory

Open Mathematics

Lu Guoxiang¹  Xiao Lei¹ 

[1] School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, P. R. China;

关键词: refinements;    jensen’s inequality;    information theory;    shannon’s entropy;    f-divergences;    bounds;    26b25;    26d15;    94a17;   

DOI  :  10.1515/math-2020-0123

来源: DOAJ

【 摘 要 】

In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al. As the applications in information theory, we provide new tighter bounds for Shannon’s entropy and some f-divergences.

【 授权许可】

Unknown