A new look at classical inequalities involving Banach lattice norms

DOI10.1186/s13660-017-1576-8zbMath1386.26018OpenAlexW2772230876WikidataQ47128879 ScholiaQ47128879MaRDI QIDQ1684621

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

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1576-8

zbMATH Keywords

inequalitiesBanach function spaceHölder inequalityPopoviciu inequalityMinkowski inequalityBellman inequalitycontinuous formsBeckenbach-Dresher inequalityMilne inequalityinterpolation of families of spaces

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Interpolation between normed linear spaces (46B70) Banach spaces of continuous, differentiable or analytic functions (46E15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Continuous refinements of some Jensen-type inequalities via strong convexity with applications ⋮ Refinements of some classical inequalities via superquadraticity ⋮ Some Hardy-type inequalities in Banach function spaces

Cites Work

• Continuous forms of classical inequalities
• A theory of complex interpolation for families of Banach spaces
• Convex functions, partial orderings, and statistical applications
• On an Inequality Concerning an Indefinite Form
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