- Вы можете использовать опцию И / ИЛИ / НЕ для критериев, которые вы хотите добавить или. - Вы можете вернуться к обычному поиску, нажав кнопку Отмена.
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.
Exact estimates for Faber polynomials, norm of Faber operator, and -norm of the generating function for the sequence of Faber operator of univalent functions of class sigma are found. The description of continua of the complex plane for which the norm of Faber operator take the value 1 or 3 is obtained.
In this paper, we study the uniform convergence ofp-Bieberbach polynomials in regions with a finite number of both interior and exterior zero angles at the boundary.