Continuous inequalities: introduction, examples and related topics

DOI10.1007/978-3-031-62894-8_1MaRDI QIDQ6611665

Ljudmila I. Nikolova, Joachim Jørgensen Ågotnes, Lars-Erik Persson, Sanja Varošanec

Publication date: 27 September 2024

zbMATH Keywords

inequalitiesrefinementHölder's inequalityMinkowski's inequalityBellman's inequalityPopoviciu's inequalitycontinuous inequalitiesinterpolation between families of Banach spaces

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Spaces of measures (46E27) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)

Cites Work

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• Continuous forms of classical inequalities
• Continuous refinements of some Jensen-type inequalities via strong convexity with applications
• Refinements of some classical inequalities via superquadraticity
• Continuous forms of Gauss-Pólya type inequalities involving derivatives

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