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A dynamical characterization of quasilinear means

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Abstract

The theory of dyadic iterations of two-variables continuous means is revised and extended in order to introduce the concept of base family of a continuous mean. Besides other results of interest, a new analytic characterization of quasilinear means is obtained by studying the means admitting a unique base mean.

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Authors and Affiliations

  1. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Laboratorio de Acústica y Electroacústica, Facultad de Ciencias Exactas, Ing. y Agrim., Universidad Nacional de Rosario, Riobamba 245 bis, 2000, Rosario, Argentina

    Lucio R. Berrone

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  1. Lucio R. Berrone
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Correspondence to Lucio R. Berrone.

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Berrone, L.R. A dynamical characterization of quasilinear means. Aequat. Math. 84, 51–70 (2012). https://doi.org/10.1007/s00010-012-0122-5

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  • DOI: https://doi.org/10.1007/s00010-012-0122-5

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