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arXiv · 1406.4345

Barycentrically associative and preassociative functions

Jean-Luc Marichal·Bruno Teheux
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Abstract

We investigate the barycentric associativity property for functions with indefinite arities and discuss the more general property of barycentric preassociativity, a generalization of barycentric associativity which does not involve any composition of functions. We also provide a generalization of Kolmogoroff-Nagumo's characterization of the quasi-arithmetic mean functions to barycentrically preassociative functions.

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Jean-Luc Marichal, Bruno Teheux. 2015-03-28. Barycentrically associative and preassociative functions. https://doi.org/10.1007/s10474-015-0488-7

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