Numerical calculations of Hölder exponents for the Weierstrass functions with (min, +)-wavelets
Michel Gondran, Abdelouahab Kenoufi · DOAJ (DOAJ: Directory of Open Access Journals) · 2014
One reminds for all function f : n → the so-called (min, +)-wavelets which are lower and upper hulls build from (min, +) analysis [12, 13]. One shows that this analysis can be applied numerically to the Weierstrass and Weierstrass-Mandelbrot functions, and that one recovers their theoretical Hölder exponents and fractal dimensions.