Refinements of discrete and integral Jensen inequalities with Jensen's gap

被引：0
|
作者：
Horvath, Laszlo [1 ]
机构：
[1] Univ Pannonia, Dept Math, Egyetem U 10, H-8200 Veszprem, Hungary
来源：
AEQUATIONES MATHEMATICAE | 2024年 / 98卷 / 02期
关键词：
Discrete and integral Jensen inequalities; Refinement; Quasi-arithmetic means; Holder's inequality; f-divergences;
D O I：
10.1007/s00010-023-01006-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by a paper of Dragomir, we give new refinements for both discrete and integral Jensen inequalities using the Jensen's gap. As applications, we give refinements of various inequalities verifiable by Jensen's inequality. Topics covered: norms, quasi-arithmetic means, Holder's inequality and f-divergences in information theory.
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页码：557 / 577
页数：21
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