Proceedings of the Japan Academy, Series A, Mathematical Sciences

A remark on continuous, nowhere differentiable functions

Hisashi Okamoto

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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.

Article information

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

Dates
First available in Project Euclid: 18 May 2005

Permanent link to this document
https://projecteuclid.org/euclid.pja/1116442036

Digital Object Identifier
doi:10.3792/pjaa.81.47

Mathematical Reviews number (MathSciNet)
MR2128931

Zentralblatt MATH identifier
1083.26004

Subjects
Primary: 26A27: Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
Secondary: 26A30: Singular functions, Cantor functions, functions with other special properties

Keywords
Continuous nowhere differentiable function

Citation

Okamoto, Hisashi. A remark on continuous, nowhere differentiable functions. Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 3, 47--50. doi:10.3792/pjaa.81.47. https://projecteuclid.org/euclid.pja/1116442036


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References

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