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Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial
被引：0
|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;
D O I：
暂无
中图分类号：
学科分类号：
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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