Every bounded function is the sum of three almost continuous bounded functions
type: Item
instance of: scholarly article
title: Every bounded function is the sum of three almost continuous bounded functions
zbMATH Open document ID: 0821.26005
author: Udayan B. Darji
author: Paul D. Humke
published in: Real Analysis Exchange
publication date: 1995-09-11T00:00:00Z
review text: For every function \(f: [0, 1]\to (- 1, 1)\) there are three almost continuous functions \(g_ 1,g_ 2,g_ 3: [0, 1]\to (- 1, 1)\) such that \(f= g_ 1+ g_ 2+ g_ 3\).
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 756683
zbMATH Keywords: Bernstein set
zbMATH Keywords: graph
zbMATH Keywords: almost continuous functions
reviewed by: Zbigniew Grande
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 756683