학술논문

Generalizations of Levinson type inequalities via new Green functions with applications to information theory
Document Type
article
Source
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Subject
Csiszár divergence
Green functions
Levension’s inequality
Mathematics
QA1-939
Language
English
ISSN
1029-242X
Abstract
Abstract 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.