Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial

In this study, Levinson-type inequalities for the class of n-convex ($n \geq 3$ 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.

show abstract

Generalized Taylor’s Formula and Steffensen’s Inequality

Fahad,

Butt,

Pečarić

et al. 2023

Mathematics

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial

Cited by 3 publications

References 14 publications

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

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

Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial

Generalized Taylor’s Formula and Steffensen’s Inequality

Contact Info

Product

Resources

About