A dynamical characterization of quasilinear means

DOI10.1007/s00010-012-0122-5zbMath1257.26027OpenAlexW1984914677MaRDI QIDQ1759594

Lucio R. Berrone

Publication date: 21 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00010-012-0122-5

zbMATH Keywords

dyadic numberbase meandyadic iterationquasilinear mean

Mathematics Subject Classification ID

Means (26E60) Iteration of real functions in one variable (26A18) Other analytical inequalities (26D20) Systems of functional equations and inequalities (39B72)

Related Items (7)

Aczél's iterations for discontinuous or non strict means ⋮ Generalized Cauchy means ⋮ Weighting by iteration: the case of Ryll-Nardzewski's iterations ⋮ Aczél's iterations for three-variable means ⋮ \(M\)-affine functions composing Sturm-Liouville families ⋮ Weighting by iteration: iterations of \(n\) variables means based on subdivisions of the standard \((n-1)\)-simplex ⋮ The Aumann functional equation for general weighting procedures

Cites Work

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• Fubini foiled: Katok's paradoxical example in measure theory
• On meaningfulness of means
• On mean values

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