Refinements of some classical inequalities via superquadraticity

Refinements of some classical inequalities via superquadraticity

Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.

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Veröffentlicht in:Journal of inequalities and applications 2022, Vol.2022 (1), p.1-15, Article 86
Hauptverfasser: Nikolova, Ludmila, Persson, Lars-Erik, Varošanec, Sanja, Yimer, Markos Fisseha
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Banach function spaces
Beckenbach-Dresher
Computer science
Hardy-type inequalities
Inequalities
Inequality
Jensen
Matematik
Mathematical functions
Mathematics
Mathematics and Statistics
Minkowski
Refinements
Superquadratic function
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Beschreibung
Zusammenfassung:Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02821-0