Inequalities for Convex Functions and Isotonic Sublinear Functionals

被引：0
|
作者：
Zdzisław Otachel
机构：
[1] University of Life Sciences in Lublin,Department of Applied Mathematics and Computer Science
来源：
Results in Mathematics | 2024年 / 79卷
关键词：
Sublinear isotonic functional; convex function; Jensen’s inequality; Jessen’s inequality; McShane’s inequality; Hölder’s inequality; Minkowski’s inequality; 39B72; 26D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, versions of the famous Jensen inequality for sublinear isotonic functionals are proved. The obtained results generalize classic Jessen’s and McShane’s inequalities. Applications to generalized means and to Hölder’s and Minkowski’s inequalities are also given.
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