Reference : Strongly barycentrically associative and preassociative functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23227
Strongly 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-May-2016
Journal of Mathematical Analysis and Applications
Academic Press
437
1
181-193
Yes (verified by ORBilu)
International
0022-247X
1096-0813
San Diego
CA
[en] Barycentric associativity ; barycentric preassociativity ; strong barycentric associativity ; strong barycentric preassociativity ; functional equation ; quasi-arithmetic mean function
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/23227
10.1016/j.jmaa.2015.12.046
http://arxiv.org/abs/1411.5897

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