\(M\)-affine functions composing Sturm-Liouville families
type: Item
instance of: scholarly article
title: \(M\)-affine functions composing Sturm-Liouville families
zbMATH Open document ID: 1407.26030
author: Lucio R. Berrone
author: Gerardo E. Sbérgamo
published in: Aequationes Mathematicae
publication date: 2018-09-26T00:00:00Z
review text: The authors prove results related to the functional equation \[ f(M(x_1,\dots, x_n))= M(f(x_1),\dots, f(x_n)), \] where \(M\) is an \(n\)-variable mean. Particularly, when \(M\) is a quasilinear mean, connections with the so-called Sturm-Liouville family of functions are considered. As applications, new characterizations of quasilinear means are provided.
reviewed by: József Sándor
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 20M30
zbMATH DE Number: 6944064
zbMATH Keywords: means
zbMATH Keywords: quasilinear means
zbMATH Keywords: affine functions
zbMATH Keywords: functional equations
zbMATH Keywords: Sturm-Liouville family
MaRDI profile type: Publication
full work available at URL: s00010-018-0588-x
OpenAlex ID: W2888699386
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DOI: 10.1007/S00010-018-0588-X
description: scientific article; zbMATH DE number 6944064