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GENERALIZATION AND REFINEMENTS OF JENSEN INEQUALITY

被引：4
|
作者：
Rubab, Faiza [1 ]
Nabi, Hira [1 ]
Khan, Asif R. [1 ]
机构：
[1] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS | 2021年 / 12卷 / 05期
关键词：
Jensen inequality; Jensen-Mercer inequality; Jensen-Steffensen inequality;
D O I：
10.54379/JMA-2021-0001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give generalizations and refinements of Jensen and Jensen-Mercer inequalities by using weights which satisfy the conditions of Jensen and Jensen- Steffensen inequalities. We also give some refinements for discrete and integral version of generalized Jensen-Mercer inequality and shown to be an improvement of the upper bound for the Jensen's difference given in [32]. Applications of our work include new bounds for some important inequalities used in information theory, and generalizing the relations among means.
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页码：1 / 27
页数：27
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