Square iterative roots of generalized weighted quasi-arithmetic mean-type mappings
type: Item
instance of: scholarly article
title: Square iterative roots of generalized weighted quasi-arithmetic mean-type mappings
zbMATH Open document ID: 1474.26169
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 2021-06-29T00:00:00Z
review text: Let functions \(f\) and \(g\) of a single variable be of the same type monotonicity, continuous and \(f+g\) be strictly monotonic. The function of two variables \(A_{f,g}(x, y) := (f + g)^{-1} (f(x) + g(y))\) is called the bivariable strict mean. The authors solve the functional equation \((A_{f,g}, A_{g,h})\circ (A_{f,g}, A_{g,h}) = (A_{F,G}, A_{G,H})\) under three times differentiability of the functions \(f, g, h, F, G, H\).
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 39B22
zbMATH DE Number: 7364718
zbMATH Keywords: square iterative root of mean-type mapping
zbMATH Keywords: generalized quasiarithmetic mean
zbMATH Keywords: invariant mean
zbMATH Keywords: functional equation
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
full work available at URL: s10474-020-01126-2
OpenAlex ID: W3126570768
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cites work: Remarks on the comparison of weighted quasi-arithmetic means
DOI: 10.1007/S10474-020-01126-2
description: scientific article; zbMATH DE number 7364718