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Numerical calculations of Hölder exponents for the Weierstrass functions with (min, +)-wavelets

One reminds for all function f : <img border=0 width=18 height=19 src="../../../../../img/revistas/tema/v15n3/r_bastao.jpg">n → <img border=0 width=17 height=21 src="../../../../../img/revistas/tema/v15n3/r_bastao_barra.jpg"> 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.

(min, +)-wavelets; Hölder exponents; Weierstrass functions


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