New refinement of the Jensen inequality associated to certain functions with applications

Abstract This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is prese...

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Bibliographic Details
Main Authors: Muhammad Adil Khan, Ðilda Pečarić, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02343-7

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