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

Classical Analysis and ODEs 2019-09-13 v1

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 c0c_0.

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Cite

@article{arxiv.1909.05545,
  title  = {A characterization of the nowhere differentiable functions of the Generalized Takagi Class},
  author = {Juan Ferrera and Javier Gómez Gil and Jesús Llorente},
  journal= {arXiv preprint arXiv:1909.05545},
  year   = {2019}
}

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14 pages