On Means Which are Quasi-Arithmetic and of the Beckenbach–Gini Type

Janusz Matkowski ()
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Janusz Matkowski: University of Zielona Góra

Chapter Chapter 37 in Functional Equations in Mathematical Analysis, 2011, pp 583-597 from Springer

Abstract: Abstract The class of quasi-arithmetic means and the class of Beckenbach–Gini means are essentially different. The problem of characterization of the means which belong to both classes leads to a composite functional equation for two unknown functions. We solve this functional equation assuming that a generator of quasi-arithmetic mean is once continuously differentiable.

Keywords: Quasi-arithmetic mean; Beckenbach–Gini mean; Functional equation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_37

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DOI: 10.1007/978-1-4614-0055-4_37

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