The Matkowski-Sutô problem for weighted quasi-arithmetic means

DOI10.1023/A:1025093509984zbMath1052.39018OpenAlexW1682118263MaRDI QIDQ1878582

Zsolt Páles, Zoltán Daróczy

Publication date: 7 September 2004

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025093509984

zbMATH Keywords

weighted quasi-arithmetic meaninvariance equationMatkowski-Sutô problemcomposition of means

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (11)

On the quasi-arithmetic Gauss-type iteration ⋮ Mean values and functional equations ⋮ On some invariance of the quotient mean with respect to Makó-Páles means ⋮ Invariance property for extended means ⋮ Invariance of means ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Characterization of the Hardy property of means and the best Hardy constants ⋮ Weighted aggregation systems and an expectation level-based weighting and scoring procedure ⋮ Invariance in the Family of Weighted Gini Means ⋮ Generalized classical weighted means, the invariance, complementarity and convergence of iterates of the mean-type mappings

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