A new invariance identity and means

Reference : A new invariance identity and means


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/36499

Title :	A new invariance identity and means
Language :	English
Author, co-author :	Devillet, Jimmy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Matkowski, Janusz []
Publication date :	10-Sep-2018
Journal title :	Results in Mathematics
Publisher :	Springer
Volume :	73
Issue/season :	4
Pages :	130
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1422-6383
e-ISSN :	1420-9012
City :	Basel
Country :	Germany
Keywords :	[en] 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
Funders :	University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/36499
DOI :	10.1007/s00025-018-0890-x
FnR project :	FnR ; FNR10949314 > Gabor Wiese > GSM > Geometric and Stochastic Methods in Mathematics and Applications > 01/10/2016 > 31/03/2023 > 2016

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