On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom

DOI10.1007/PL00000129zbMath0945.39014OpenAlexW2117818997WikidataQ114018394 ScholiaQ114018394MaRDI QIDQ1972859

Jean-Luc Marichal

Publication date: 3 October 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000129

zbMATH Keywords

systemsfunctional equationsdecomposabilityquasiarithmetic meansmean valuessymmetry axiomJFM 56.0198.02JFM 56.0198.03

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60) Systems of functional equations and inequalities (39B72)

Related Items (9)

Unnamed Item ⋮ Barycentrically associative and preassociative functions ⋮ Weighted triangular norms-based aggregation operators ⋮ Kolmogoroff-Nagumo mean over the affine symplectic group of matrices ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Invariance of means ⋮ Strongly barycentrically associative and preassociative functions ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Quasi-arithmetic means of covariance functions with potential applications to space-time data

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