1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2026
Dynamics of the Takagi function and the shadowing property
Zoltán Buczolich, Jesús Llorente
The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper, we study the discrete dynamical system generated…
math.CA2019★ 1 cited
A characterization of the nowhere differentiable functions of the Generalized Takagi Class
Juan Ferrera, Javier Gómez Gil, Jesús Llorente
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…
math.CA2019
Infinite derivatives of the Takagi-Van der Waerden functions
Juan Ferrera, Javier Gómez Gil, Jesús Llorente
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 infini…