Infinite derivatives of the Takagi-Van der Waerden functions
Classical Analysis and ODEs
2019-04-01 v2
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.
Keywords
Cite
@article{arxiv.1903.11631,
title = {Infinite derivatives of the Takagi-Van der Waerden functions},
author = {Juan Ferrera and Javier Gómez Gil and Jesús Llorente},
journal= {arXiv preprint arXiv:1903.11631},
year = {2019}
}