Reference : Barycentrically associative and preassociative functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/17943
Barycentrically associative and preassociative functions
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
1-Apr-2015
Acta Mathematica Hungarica
Springer Science & Business Media B.V.
145
2
468-488
Yes (verified by ORBilu)
International
0236-5294
[en] Barycentric associativity ; barycentric preassociativity ; functional equation
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/17943
10.1007/s10474-015-0488-7
http://arxiv.org/abs/1406.4345

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