2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216531We consider a geometric rough path associated with a fractional Brownian motion with Hurst parameter $H\in]{1/4}, {1/2}[$. We give an approximation result in a modulus type distance, up to the second order, by means of a sequence of rough paths lying above elements of the reproducing kernel Hilbert space.28 pagesProbabilityPrimary 60G15; Secondary 60H05, 60H07text