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- Title
Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial.
- Authors
Rasheed, Awais; Khan, Khuram Ali; Pečarić, Josip; Pečarić, Ðilda
- Abstract
In this study, Levinson-type inequalities for the class of n-convex (n ≥ 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.
- Subjects
GREEN'S functions; HERMITE polynomials; UNCERTAINTY (Information theory); GENERALIZATION; FUNCTIONALS
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03146-w