On Mulholland’s inequality

DOI10.1090/S0002-9939-02-06708-4zbMath1005.39025MaRDI QIDQ4539842

Janusz Matkowski, Witold Jarczyk

Publication date: 11 July 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

functional inequalitiesMinkowski's inequalityMulholland's inequalitygeometrically convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (12)

Countable products of probabilistic normed spaces ⋮ Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ Operator inequalities in reproducing kernel Hilbert spaces ⋮ Sublinear circuits and the constrained signomial nonnegativity problem ⋮ A generalization of the Mulholland inequality for continuous Archimedean t-norms ⋮ Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals ⋮ Differential Criterion of n-Dimensional Geometrically Convex Functions ⋮ Disciplined geometric programming ⋮ Reciprocally convex functions ⋮ The dominance relation in some families of continuous Archimedean t-norms and copulas ⋮ Geometrically concave univariate distributions ⋮ New solutions to Mulholland inequality

Cites Work

• On a generalized Minkowski inequality and its relation to dominates for t-norms
• On a generalization of Mulholland's inequality
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality
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