On the Beckenbach–Gini–Lehmer Means and Means Mappings

Janusz Matkowski and Małgorzata Wróbel
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Janusz Matkowski: Institute of Mathematics, University of Zielona Góra, Szafrana 4A, PL 65-516 Zielona Góra, Poland
Małgorzata Wróbel: Department of Mathematics, Czestochowa University of Technology, al. Armii Krajowej 21, PL 42-200 Częstochowa, Poland

Mathematics, 2020, vol. 8, issue 9, 1-16

Abstract: Beckenbacg–Gini–Lehmer type means and mean-type mappings generated by functions of several variables, for which the arithmetic mean is invariant, are introduced. Equality of means of that type, their homogeneity, and convergence of the iterates of the respective mean-type mappings are considered. An application to solving a functional equation is given.

Keywords: means; Gini means; mean-type mapping; invariant mean; functional equation; iteration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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