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Takagi–van der Waerden-Type Functions I

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Book cover Continuous Nowhere Differentiable Functions

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The purpose of this chapter is to present basic results related to the nowhere differentiability of the Takagi–van der Waerden function \(x\longmapsto \sum _{n=0}^{\infty }a^{n}\mathop{ \mathrm{dist}}\nolimits (b^{n}x +\theta _{n}, \mathbb{Z})\). The discussion will be continued in Chap. 9

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Authors and Affiliations

  1. Institute of Mathematics, Jagiellonian University, Kraków, Poland

    Marek Jarnicki

  2. Insitute for Mathematics, Carl von Ossietzky University Oldenburg, Oldenburg, Germany

    Peter Pflug

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  1. Marek Jarnicki
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  2. Peter Pflug
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Jarnicki, M., Pflug, P. (2015). Takagi–van der Waerden-Type Functions I. In: Continuous Nowhere Differentiable Functions. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-12670-8_4

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