RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory

Abstract In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types. Moreover, the main results are applied to information theory via...

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Bibliographic Details
Main Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2166-8