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 ![]() | |
Matkowski, Janusz [] | |
10-Sep-2018 | |
Results in Mathematics | |
Springer | |
73 | |
4 | |
130 | |
Yes (verified by ORBilu) | |
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 | |
FnR ; FNR10949314 > Gabor Wiese > GSM > Geometric and Stochastic Methods in Mathematics and Applications > 01/10/2016 > 31/03/2023 > 2016 |
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