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 |
Files in This Item:
File | Description | Size | Format | |
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DP_1218_SFB823_Hansen2.pdf | DNB | 141.58 kB | Adobe PDF | View/Open |
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