Reference : The Chisini mean revisited
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/7246
The Chisini mean revisited
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Proc. 5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009)
González, Manuel
Mayor, Gaspar
Suner, Jaume
Torrens, Joan
Edicions UIB. Cas Jai. Campus Universitari
161-166
Yes
No
International
978-84-8384-101-3
Universitat de Illes Balears
Spain
5th Int. Summer School on Aggregation Operators and their Applications (AGOP 2009)
from 06-07-2009 to 10-07-2009
Gaspar Mayor
Palma de Mallorca
Spain
[en] Chisini's functional equation ; Chisini mean ; aggregation ; idempotency ; quasi-idempotency
[en] We investigate the $n$-variable real functions $\G$ that are solutions of the functional equation $\F(\bfx)=\F(\G(\bfx),\ldots,\G(\bfx))$, where $\F$ is a given function of $n$ real variables. We provide necessary and sufficient conditions on $\F$ for the existence and uniqueness of solutions. When $\F$ is nondecreasing in each variable, we show in a constructive way that if a solution exists then a nondecreasing and idempotent solution always exists. Such solutions, called Chisini means, are then thoroughly investigated.
University of Luxembourg - UL
F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/7246

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