On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space.

In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found. [ABSTRACT FROM AUTHOR]