Non approximate derivability of the Takagi function
Classical Analysis and ODEs
2019-06-26 v2
Abstract
The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper we prove that it is nowhere approximately derivable.
Cite
@article{arxiv.1807.08783,
title = {Non approximate derivability of the Takagi function},
author = {Juan Ferrera and Javier Gómez Gil},
journal= {arXiv preprint arXiv:1807.08783},
year = {2019}
}
Comments
6 pages. Version final. Some misprints have been corrected One reference deleted. Accepted for publication in Journal of Convex Analysis