Barycentric associativity; barycentric preassociativity; strong barycentric associativity; strong barycentric preassociativity; functional equation; quasi-arithmetic mean function
Abstract :
[en] 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.
Disciplines :
Mathematics
Author, co-author :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
TEHEUX, Bruno ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Strongly barycentrically associative and preassociative functions
Publication date :
01 May 2016
Journal title :
Journal of Mathematical Analysis and Applications
ISSN :
0022-247X
eISSN :
1096-0813
Publisher :
Academic Press, San Diego, United States - California
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
