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arXiv · 1903.11631

Infinite derivatives of the Takagi-Van der Waerden functions

Juan Ferrera·Javier Gómez Gil·Jesús Llorente
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Abstract

In this paper we characterize the set of points where the lateral derivatives of the Takagi-Van der Waerden functions are infinite. We also prove that the set of points with infinite derivative has Hausdorff dimension one and Lebesgue measure zero.

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Juan Ferrera, Javier Gómez Gil, Jesús Llorente. 2019-03-27. Infinite derivatives of the Takagi-Van der Waerden functions. https://arxiv.org/abs/1903.11631

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