Authors: Hansen, Maurice
Title: On axiomizing and extending the quasi-arithmetic mean
Language (ISO): en
Abstract: Quasi-arithmetic means contain many other mean value concepts such as the arithmetic, the geometric or the harmonic mean as special cases. Treating quasi-arithmetic means as sequences of mappings from I^n into I (for some real interval I) this paper shows that under mild additional conditions this mapping is uniquely determined by its values on I^2. This extends a well-known result by Huntington [4] where this claim is proven only for special cases.
Subject Headings: quasi-arithmetic mean
strong decomposability
Subject Headings (RSWK): Mittelwert
URI: http://hdl.handle.net/2003/36880
http://dx.doi.org/10.17877/DE290R-18879
Issue Date: 2018
Appears in Collections:Sonderforschungsbereich (SFB) 823

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