English

Superdifferential of the Takagi function

Classical Analysis and ODEs 2019-06-26 v1

Abstract

The Takagi function is a classical example of a continuous nowhere differentiable function. It has empty subdifferential except in a countable set where its subdifferential is R\mathbb{R}. In this paper we characterize its superdifferential.

Cite

@article{arxiv.1906.10192,
  title  = {Superdifferential of the Takagi function},
  author = {Juan Ferrera and Javier Gómez Gil},
  journal= {arXiv preprint arXiv:1906.10192},
  year   = {2019}
}

Comments

10 pages

R2 v1 2026-06-23T10:02:23.952Z