Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-05-12

AUTHORS

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

ABSTRACT

Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak{n}$\end{document}-convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed.

PAGES

137

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-020-02403-y

DOI

http://dx.doi.org/10.1186/s13660-020-02403-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1127546097


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