Reference : A new invariance identity and means
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/36499
A new invariance identity and means
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Matkowski, Janusz []
10-Sep-2018
Results in Mathematics
Springer
73
4
130
Yes
International
1422-6383
1420-9012
Basel
Germany
[en] invariant functions ; mean ; invariant mean ; reflexivity ; iteration ; functional equation
[en] The invariance identity involving three operations D_{f,g} : X x X -> X of the form
D_{f,g} (x,y) = (f o g)^{-1} (f (x) + g (y)) ,
is proposed. The connections of these operations with means is investigated.
The question when the invariance equality admits three means leads to a com-
posite functional equation. Problem to determine its continuous solutions is
posed
University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Researchers
http://hdl.handle.net/10993/36499
10.1007/s00025-018-0890-x

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