The growth order of the optimal constants in Turán-Erőd type inequalities in $L^q(K,\mu )$

P. Yu. Glazyrina, Yu. S. Goryacheva, Sz. Gy. Révész

In 1939 Turán raised the question about lower estimations of the maximum norm of the derivatives of a polynomial $p$ of maximum norm $1$ on the compact set $K$ of the complex plain…