Invariance of the Cauchy mean-value expression with an application to the problem of representation of Cauchy means

Lucio R. Berrone

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-18

Abstract:

The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value expression is introduced and then used in furnishing a suitable two-variable version of a result by L. Losonczi on equality of many-variable Cauchy means. An assessment of the methods used by Losonczi and Matkowski is made and an alternative way is proposed to solve the problem of representation of two-variable Cauchy means.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:534590

DOI: 10.1155/IJMMS.2005.2895

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