On some properties of the quasisymmetry quotients of functions
type: Item
instance of: scholarly article
title: On some properties of the quasisymmetry quotients of functions
zbMATH Open document ID: 0931.39012
author: Zygfryd Kominek
published in: Aequationes Mathematicae
publication date: 2000-02-22T00:00:00Z
review text: The author offers the detemination of all real valued injective (one-to-one) functions \(f\) on \(\mathbb{R}\) for which \([f(x+y)-f(x)]/[f(x)-f(x-y)]\) is independent of \(y>0\) or of \(x\in\mathbb{R}\) (in the latter case the dependence of the quotient on \(y\) is supposed to be continuous).
reviewed by: János Aczél
Mathematics Subject Classification ID: 39B22
zbMATH DE Number: 1346976
zbMATH Keywords: functional equations
zbMATH Keywords: injective functions
zbMATH Keywords: continuous functions
zbMATH Keywords: quasisymmetry quotients
MaRDI profile type: Publication
full work available at URL: s000100050096
OpenAlex ID: W2033151827
DOI: 10.1007/S000100050096
description: scientific article; zbMATH DE number 1346976