Generalizations of Levinson type inequalities via new Green functions with applications to information theory

In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main results to information theory.

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2023-10, Vol.2023 (1), p.124-19, Article 124
Main Authors: Rasheed, Awais, Khan, Khuram Ali, Pečarić, Josip, Pečarić, Đilda
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Convex analysis
Csiszár divergence
Entropy
Entropy (Information theory)
Green functions
Green's functions
Inequalities
Inequality
Information theory
Levension’s inequality
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main results to information theory.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-023-03040-x