Article (Scientific journals)
A new invariance identity and means
Devillet, Jimmy; Matkowski, Janusz
2018In Results in Mathematics, 73 (4), p. 130
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Keywords :
invariant functions; mean; invariant mean; reflexivity; iteration; functional equation
Abstract :
[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
Disciplines :
Mathematics
Author, co-author :
Devillet, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Matkowski, Janusz
External co-authors :
yes
Language :
English
Title :
A new invariance identity and means
Publication date :
10 September 2018
Journal title :
Results in Mathematics
ISSN :
1420-9012
Publisher :
Springer, Basel, Germany
Volume :
73
Issue :
4
Pages :
130
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR10949314 - Geometric And Stochastic Methods In Mathematics And Applications, 2015 (01/10/2016-31/03/2023) - Gabor Wiese
Funders :
University of Luxembourg - UL
FNR - Fonds National de la Recherche [LU]
Available on ORBilu :
since 30 August 2018

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