2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70075A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.17 pages, LaTeX2e documentMetric GeometryClassical Analysis and ODEs52A40 (Primary) 52A10 53A15 (Secondary)text