Infinite derivatives of the Takagi-Van der Waerden functions

Published 27 Mar 2019 in math.CA | (1903.11631v2)

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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