2 papers
math.CA2019
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…