Estimates for the best constant in a Markov $L_2$-inequality with the assistance of computer algebra

Geno Nikolov, Rumen Uluchev

We prove two-sided estimates for the best (i.e., the smallest possible) constant $c_n(\alpha )$ in the Markov inequality $$ \|p_n'\|_{w_α} \le c_n(α) \|p_n\|_{w_α}\,, \qquad p_n \in…