학술논문
Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial
Document Type
article
Source
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-19 (2024)
Subject
Language
English
ISSN
1029-242X
Abstract
Abstract In this study, Levinson-type inequalities for the class of n-convex ( n ≥ 3 $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points. Some estimations for novel functionals are derived using f-divergence. Furthermore, different inequalities involving Shannon entropies are presented.