Invariance in the Family of Weighted Gini Means

Iulia Costin () and Gheorghe Toader ()
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Iulia Costin: Technical University Cluj-Napoca
Gheorghe Toader: Technical University Cluj-Napoca

A chapter in Handbook of Functional Equations, 2014, pp 105-127 from Springer

Abstract: Abstract Given two means M and N, the mean P is called $(M,N)$ -invariant if $P(M,$ $N)=P.$ At the same time the mean N is called complementary to M with respect to P. We use the method of series expansion of means to determine the complementary with respect to a weighted Gini mean. The invariance in the family of weighted Gini means is also studied. The computer algebra Maple was used for solving some complicated systems of equations.

Keywords: Weighted Gini mean; Complementary mean; Invariance in a class of means. (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-1246-9_6

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DOI: 10.1007/978-1-4939-1246-9_6

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