Strongly barycentrically associative and preassociative functions
Rings and Algebras
2016-01-27 v2
Abstract
We study the property of strong barycentric associativity, a stronger version of barycentric associativity for functions with indefinite arities. We introduce and discuss the more general property of strong barycentric preassociativity, a generalization of strong 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 strongly barycentrically preassociative functions.
Keywords
Cite
@article{arxiv.1411.5897,
title = {Strongly barycentrically associative and preassociative functions},
author = {Jean-Luc Marichal and Bruno Teheux},
journal= {arXiv preprint arXiv:1411.5897},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1406.4345