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arXiv · 1909.05545

A characterization of the nowhere differentiable functions of the Generalized Takagi Class

Juan Ferrera·Javier Gómez Gil·Jesús Llorente
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Abstract

In this paper, we prove that for some Generalized Takagi Classes, in particular for the Takagi-Van der Waerden Class, the functions are nowhere differentiable if, and only if, the sequence of weights does not belong to $c_0$.

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Juan Ferrera, Javier Gómez Gil, Jesús Llorente. 2019-09-12. A characterization of the nowhere differentiable functions of the Generalized Takagi Class. https://arxiv.org/abs/1909.05545

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