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


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Article Info

DATE

2021-08-25

AUTHORS

Muhammad Adeel, Khuram Ali Khan, Đilda Pečarić, Josip Pečarić

ABSTRACT

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. More... »

PAGES

1-16

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00010-021-00845-3

DOI

http://dx.doi.org/10.1007/s00010-021-00845-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1140638116


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