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

DOI10.1186/s13660-023-02934-0OpenAlexW4321452052MaRDI QIDQ6062412

Ljudmila I. Nikolova, Sanja Varošanec, Lars-Erik Persson

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-02934-0

zbMATH Keywords

inequalitiesHölder inequalityrefinementsYoung inequalityMinkowski inequalitystrong convexitysuperquadraticity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Characterizations of inner product spaces by strongly convex functions
• Refining the Hölder and Minkowski inequalities
• Continuous refinements of some Jensen-type inequalities via strong convexity with applications