2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133595In this article $λ$-method of Mitrinovic-Vasic \cite{MitrinovicVasic70} is applied to improve the upper bound for the arcsin function of L. Zhu \cite{Zhu05} for inequalities of Shafer-Fink's type.Classical Analysis and ODEs26D05text