Barycentric associativity; barycentric preassociativity; strong barycentric associativity; strong barycentric preassociativity; functional equation; quasi-arithmetic mean function
Résumé :
[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 :
Mathématiques
Auteur, co-auteur :
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
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Strongly barycentrically associative and preassociative functions
Date de publication/diffusion :
01 mai 2016
Titre du périodique :
Journal of Mathematical Analysis and Applications
ISSN :
0022-247X
eISSN :
1096-0813
Maison d'édition :
Academic Press, San Diego, Etats-Unis - Californie
