Article (Scientific journals)
Barycentrically associative and preassociative functions
Marichal, Jean-Luc; Teheux, Bruno
2015In Acta Mathematica Hungarica, 145 (2), p. 468-488
Peer reviewed
 

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Keywords :
Barycentric associativity; barycentric preassociativity; functional equation
Abstract :
[en] 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.
Disciplines :
Mathematics
Quantitative methods in economics & management
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 :
Barycentrically associative and preassociative functions
Publication date :
01 April 2015
Journal title :
Acta Mathematica Hungarica
ISSN :
0236-5294
Publisher :
Springer Science & Business Media B.V.
Volume :
145
Issue :
2
Pages :
468-488
Peer reviewed :
Peer reviewed
Name of the research project :
F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 28/02/2015 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 15 September 2014

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