2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171036We extend Freiman's inequality on the cardinality of the sumset of a $d$ dimensional set. We consider different sets related by an inclusion of their convex hull, and one of them added possibly several times.6 pagesCombinatorics11B50; 11B75; 11P70Sumsets and the convex hulltext