Some new refinements of the Young, Hölder, and Minkowski inequalities

Abstract We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0< p<1$ . The key is to use the concepts of superquadraticity, strong convexity, and to first prove the corresponding refinements of the Young and rever...

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Bibliographic Details
Main Authors: Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02934-0