Superdifferential of the Takagi function

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 $\mathbb{R}$. In this paper we characterize its superdifferential.

arXiv comment10 pages

Cited by in corpus (1)

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