On a characterization of \(L^ p\)-norm and a converse of Minkowski's inequality

DOI10.32917/HMJ/1206127361zbMath0872.46018OpenAlexW1557499578MaRDI QIDQ674599

Janusz Matkowski

Publication date: 5 October 1997

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206127361

zbMATH Keywords

homogeneitypower functionMinkowski's inequalityweak regularitymeasure spacecharacterization of \(L^ p\)-normsubadditive functions on a cone

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Systems of functional equations and inequalities (39B72)

Related Items (5)

Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ Generalizations of some probability inequalities and \(L^{p}\) convergence of random variables for any monotone measure ⋮ The Pexider type generalization of the Minkowski inequality ⋮ Pointwise monotonic functions and generalized subadditivity ⋮ Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals

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