AN APPROACH FOR DERIVATION OF MARKOV-TYPE INEQUALITIES IN L2 NORMS

Abstract

An approach for derivation of Markov-type inequalities in $L_2$ norms proposed in [9] is applied to the classical case of a constant weight function. According to a result of E. Schmidt, the sharp constant in this inequality is asymptotically equal to $\frac{n^2}{\pi }$. We obtain upper and lower bounds for the best constant.