Subadditive Functions and a Relaxation of the Homogeneity Condition of Seminorms

DOI10.2307/2159526zbMath0777.26013OpenAlexW4232328506MaRDI QIDQ4039299

Janusz Matkowski

Publication date: 5 December 1993

Full work available at URL: https://doi.org/10.2307/2159526

zbMATH Keywords

convex functionssubadditive functionsHölder inequalityJensen inequalitylinear spacesMinkowski inequalityseminormslocally bounded functionsmeasure spaces\(L^ p\)-norms

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Systems of functional equations and inequalities (39B72)

Related Items (4)

Sub- and superadditive properties of Euler's gamma function ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Pointwise monotonic functions and generalized subadditivity ⋮ \(K\)-subadditive and \(K\)-superadditive set-valued functions bounded on ``large sets

Cites Work

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• A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities
• Minimal superadditive extensions of superadditive functions
• Sublinear functions on R
• Quasi-monotonicity, subadditive bijections of \({\mathbb{R}}_ +\), and characterization of \(L^ p\)-norm
• On a characterization of $L^p$-norm
• The Converse of the Minkowski's Inequality Theorem and its Generalization
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality
• Subadditive functions

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