A Simple Proof of the Jensen-Type Inequality of Fink and Jodeit

被引:0
|
作者
Marcela V. Mihai
Constantin P. Niculescu
机构
[1] University of Craiova,Department of Mathematics
来源
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词
Jensen’s inequality; absolutely continuous function; convex function; quasiconvex function; signed measure; subdifferential; Primary 26A51; Secondary 26D15;
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学科分类号
摘要
We discuss the extension of Jensen’s inequality to the framework of quasiconvex functions. Moreover, it is proved that our results work for a class of signed measures larger than the class of probability measures.
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页码:119 / 126
页数:7
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