Composition of functions
type: Item
instance of: scholarly article
title: Composition of functions
zbMATH Open document ID: 0962.26002
DOI: 10.1155/S0161171200003847
author: K. Muthuvel
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-05-07T00:00:00Z
full work available at URL: https://eudml.org/doc/48746
review text: Main theorem of this paper: Let \(f\) and \(g\) be functions mapping the real line into the real line (\(f\) be surjective). If \(g\circ f\) is continuous and \(f\) is Darboux, then \(g\) is continuous. If \(g\circ f\) is Darboux and \(f\) is continuous, then \(g\) is Darboux.
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 54C30
zbMATH DE Number: 1533038
zbMATH Keywords: continuous function
zbMATH Keywords: Darboux function
zbMATH Keywords: composition of function
reviewed by: Ryszard Pawlak
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1533038