A remark on continuous, nowhere differentiable functions

A remark on continuous, nowhere differentiable functions

Hisashi Okamoto

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 81, Number 3 (2005), 47-50.

Abstract

We consider a parameterized family of continuous functions, which contains as its members Bourbaki's and Perkins's nowhere differentiable functions as well as the Cantor-Lebesgue singular functions.

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Primary Subjects: 26A27

Secondary Subjects: 26A30

Keywords: Continuous; nowhere differentiable function

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1116442036
Mathematical Reviews number (MathSciNet): MR2128931
Zentralblatt MATH identifier: 1083.26004
Digital Object Identifier: doi:10.3792/pjaa.81.47

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JSTOR: links.jstor.org

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