2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217839The proof of the inequalities for alternating Mathieu type series in Journal of Mathematical Inequalities (2008) by Ž. Tomovski and R. Hilfer contains a mistake. Here we give the values of parameters for which these inequalities are not true.2 pagesClassical Analysis and ODEs26D15; 33E20text