2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64370Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. The estimates are uniform with respect to all graphs of a given finite length, and the constant factors in the inequalities are sharp.19 pages, 0 figuresClassical Analysis and ODEsPrimary 46E39; Secondary 41A45, 41A46text