Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals

DOI10.1016/j.jmaa.2013.03.005zbMath1305.26027OpenAlexW2080540410MaRDI QIDQ488723

Janusz Matkowski

Publication date: 26 January 2015

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.2013.03.005

zbMATH Keywords

convex functionsubadditivityWright-convex functiongeometrical convex functionsubhomogeneity

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity

Cites Work

• On a characterization of \(L^ p\)-norm and a converse of Minkowski's inequality
• A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities
• Converse theorem for the Minkowski inequality
• Functional inequality characterizing nonnegative concave functions in \((0,\infty)^ k\)
• On a generalization of Mulholland's inequality
• The converse theorem for Minkowski's inequality.
• Subadditive periodic functions
• On a characterization of $L^p$-norm
• The Converse of the Minkowski's Inequality Theorem and its Generalization
• Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm
• On Mulholland’s inequality
• Linear functional inequalities–-a general theory and new special cases
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality
• Subadditive functions
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