Converse theorem for the Minkowski inequality

DOI10.1016/j.jmaa.2008.07.044zbMath1154.26020OpenAlexW2053641752MaRDI QIDQ947567

Janusz Matkowski

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.044

zbMATH Keywords

Minkowski inequalitymeasure spaceA converse theorem

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ Characterisation of \(L_p\)-norms via Hölder's inequality ⋮ The Pexider type generalization of the Minkowski inequality ⋮ Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals ⋮ Hölder-Minkowski type inequality for generalized Sugeno integral ⋮ Inequalities for \(n\)-class of functions using the Saigo fractional integral operator

Cites Work

• Unnamed Item
• Unnamed Item
• Functional inequality characterizing nonnegative concave functions in \((0,\infty)^ k\)
• On a generalization of Mulholland's inequality
• The converse theorem for Minkowski's inequality.
• Quasi-monotonicity, subadditive bijections of \({\mathbb{R}}_ +\), and characterization of \(L^ p\)-norm
• On Subadditive Functions
• The Converse of the Minkowski's Inequality Theorem and its Generalization
• Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality

This page was built for publication: Converse theorem for the Minkowski inequality