Derivatives and closed sets
type: Item
instance of: scholarly article
title: Derivatives and closed sets
zbMATH Open document ID: 0543.26003
DOI: 10.1007/BF01951320
author: Jan Mařík
published in: Acta Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: The author proves that a real function defined on a closed set S and differentiable relative to S can be extended to a function differentiable on the whole real line. This is a generalization of a result of \textit{G. Petruska} and \textit{M. Laczkovich} [Acta. Math. Acad. Sci. Hung. 25, 189- 212 (1974; Zbl 0279.26003)].
Mathematics Subject Classification ID: 26A24
zbMATH DE Number: 3863515
zbMATH Keywords: extension to a function differentiable on the whole real line
zbMATH Keywords: closed set
reviewed by: Pavel Kostyrko
MaRDI profile type: Publication
cites work: Baire 1 functions, approximately continuous functions and derivatives
full work available at URL: https://doi.org/10.1007/bf01951320
OpenAlex ID: W2148836156
description: scientific article; zbMATH DE number 3863515