A geometric construction of continuous, strictly increasing singular functions
type: Item
instance of: scholarly article
title: A geometric construction of continuous, strictly increasing singular functions
zbMATH Open document ID: 1163.26303
author: Hisashi Okamoto
author: Marcus Wunsch
published in: Proceedings of the Japan Academy. Series A
publication date: 2008-08-11T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1200672011
review text: The authors study a parametrized family of continuous functions introduced by \textit{H. Okamoto} [Proc. Japan Acad. Ser. A 81, 47--50 (2005; Zbl 1083.26004)], for which are proved that they are singular, i.e. their derivatives are zero almost everywhere.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 5309646
zbMATH Keywords: continuous
zbMATH Keywords: monotonically increasing function
zbMATH Keywords: singular functions
MaRDI profile type: Publication
OpenAlex ID: W2165408496
cites work: Q4937850
cites work: On the critical case of Okamoto's continuous non-differentiable functions
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DOI: 10.3792/PJAA.83.114
description: scientific article; zbMATH DE number 5309646