Barycentrically associative and preassociative functions
Rings and Algebras
2015-03-31 v2
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.
Cite
@article{arxiv.1406.4345,
title = {Barycentrically associative and preassociative functions},
author = {Jean-Luc Marichal and Bruno Teheux},
journal= {arXiv preprint arXiv:1406.4345},
year = {2015}
}