Infinite derivatives of the Takagi-Van der Waerden functions
classification
🧮 math.CA
keywords
infinitederivativesfunctionspointstakagi-vanwaerdencharacterizederivative
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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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