2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65868We give new lower asymptotical estimate of constant \[ C_n=\sup\biggl\{\frac{\|t_n\|_{C(\mathbb T)}}{\|t_n\|_{L(\mathbb T)}}:t_n\text{are real trigonometric polynomials}, \operatorname{deg}t_n<n\biggr\} \] as $n\to\infty$. This estimate improves known bound of L.V.Taykov (1965).3 pagesClassical Analysis and ODEsNumber Theorytext