2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115154In this note we consider inequalities involving the error function $ϕ$. Our methodes give new proofs of some known inequalities of Komatsu, and of Szarek and Werner, and also produce two families of inequalities that give upper and lower bounds for $ϕ$. Moreover the continued fractions expansion of $ϕ$ is obtained.12 pagesClassical Analysis and ODEsProbabilitytext