Continuous refinements of some Jensen-type inequalities via strong convexity with applications

Abstract In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and Popoviciu type inequalities. As particular cases we point out the corresponding r...

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Bibliographic Details
Main Authors: Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02801-4