Reference : The Chisini mean revisited
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
The Chisini mean revisited
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
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
Universitat de Illes Balears
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
[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

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