Continuous forms of classical inequalities

DOI10.1007/s00009-016-0698-4zbMath1353.26017OpenAlexW2341379065MaRDI QIDQ350234

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

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0698-4

zbMATH Keywords

inequalitiesHölder inequalityPopoviciu inequalityMinkowski inequalityBellman inequalitycontinuous formssubadditive functionals

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Continuous refinements of some Jensen-type inequalities via strong convexity with applications ⋮ A new look at classical inequalities involving Banach lattice norms ⋮ Continuous forms of Gauss-Pólya type inequalities involving derivatives

Cites Work

• A unified generalization of Aczél, Popoviciu and Bellman's inequalities
• A generalized Beckenbach-Dresher inequality and related results
• A theory of complex interpolation for families of Banach spaces
• On Jessen's inequality for convex functions. III
• Convex functions, partial orderings, and statistical applications
• Inequalities for indefinite forms
• Some real interpolation methods for families of Banach spaces: A comparison
• Sharpening Hölder's and Popoviciu's inequalities via functionals
• Minkowski and Beckenbach-Dresher inequalities and functionals on time scales
• On an Inequality Concerning an Indefinite Form
• Extension of Hölder's inequality (I)
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