文章基本信息

标题：A new bound for the Jensen gap pertaining twice differentiable functions with applications
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作者：Shahid Khan ; Muhammad Adil Khan ; Saad Ihsan Butt 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-11
DOI：10.1186/s13662-020-02794-8
出版社：Hindawi Publishing Corporation
摘要：In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the main result in information theory.
关键词：Jensen inequality;Hölder inequality;Convex function;Green function;Csiszár divergence;