Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial

被引:0
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作者
Muhammad Adeel
Khuram Ali Khan
Đilda Pečarić
Josip Pečarić
机构
[1] University of Sargodha,Department of Mathematics
[2] University of Central Punjab,Department of Mathematics
[3] University North,Department of Media and Communication
[4] RUDN University,undefined
来源
Aequationes mathematicae | 2022年 / 96卷
关键词
Information theory; Convex functions; Levinson’s Inequality; Primary 26D10; Secondary 26D20;
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摘要
In this work, Levinson type inequalities involving two types of data points are proved using Green functions and the Hermite interpolating polynomial for the class of n-convex functions. In seek of applications to information theory some estimates for new functionals are obtained, based on f\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {f}$$\end{document}-divergence. Moreover, some inequalities involving Shannon entropies are deduced as well.
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页码:1 / 16
页数:15
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