On the dimension of the graph of the classical Weierstrass function

Krzysztof Barański, Balázs Bárány, Julia Romanowska

This paper examines dimension of the graph of the famous Weierstrass non-differentiable function \[ W_{λ, b} (x) = \sum_{n=0}^{\infty}λ^n\cos(2πb^n x) \] for an integer $b\ge 2$ a…