Reference : On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/1766
On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
English
Marichal, Jean-Luc mailto [University of Liège, Belgium > Department of Management (FEGSS)]
Feb-2000
Aequationes Mathematicae
Springer
59
1-2
74-83
Yes (verified by ORBilu)
International
0001-9054
1420-8903
Basel
Switzerland
[en] Kolmogoroff and Nagumo proved that the quasi-arithmetic means correspond exactly to the decomposable sequences of continuous, symmetric, strictly increasing in each variable and reflexive functions. We replace decomposability and symmetry in this characterization by a generalization of the decomposability.
Department of Management (FEGSS)
University of Liège, Belgium
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1766
10.1007/PL00000129

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