Erdős problem and quadratic equation
type: Item
instance of: scholarly article
title: Erdős problem and quadratic equation
zbMATH Open document ID: 1229.39031
published in: Annals of Functional Analysis
publication date: 2011-05-02T00:00:00Z
full work available at URL: https://eudml.org/doc/224459
full work available at URL: AFA-tex v1 n2 a7.pdf
review text: The authors investigate an Erdős problem on almost quadratic functions on \(\mathbb R\). Erdős problem. Let \(f :\mathbb R \to\mathbb R\) be a function such that \(f(x+y) = f(x) + f(y)\) for almost all \((x,y)\in\mathbb R \times\mathbb R\). Does there exist an additive function \(F :\mathbb R \to\mathbb R\) such that \(f(x) = F(x)\) for almost all \(x \in\mathbb R\)?
reviewed by: Borislav Crstici
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 5883039
zbMATH Keywords: quadratic function
zbMATH Keywords: almost additive function
zbMATH Keywords: Erdős problem
author: Madjid Eshaghi Gordji
author: M. Ramezani
MaRDI profile type: Publication
OpenAlex ID: W1990187182
DOI: 10.15352/AFA/1399900588
description: scientific article; zbMATH DE number 5883039