Barycentrically associative and preassociative functions

Reference : Barycentrically associative and preassociative functions


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/10993/17943

Title :	Barycentrically associative and preassociative functions
Language :	English
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 >]
Publication date :	1-Apr-2015
Journal title :	Acta Mathematica Hungarica
Publisher :	Springer Science & Business Media B.V.
Volume :	145
Issue/season :	2
Pages :	468-488
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0236-5294
Keywords :	[en] 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.
Funders :	University of Luxembourg - UL
Name of the research project :	F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 28/02/2015 > MARICHAL Jean-Luc
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/17943
DOI :	10.1007/s10474-015-0488-7
Other URL :	http://arxiv.org/abs/1406.4345

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