TY - JOUR AU - Savchuk, A. V. PY - 2021/12/26 Y2 - 2024/03/28 TI - Point-wise estimates for the derivative of algebraic polynomials JF - Matematychni Studii JA - Mat. Stud. VL - 56 IS - 2 SE - Research Announcements DO - 10.30970/ms.56.2.208-211 UR - http://matstud.org.ua/ojs/index.php/matstud/article/view/219 SP - 208-211 AB - We give a sufficient condition on coefficients $a_k$ of an algebraic polynomial $P(z)=\sum\limits_{k=0}^{n}a_kz^k$, $a_n ot=0,$ such that the pointwise Bernstein inequality $|P'(z)|\le n|P(z)|$ is true for all $z,\ |z|\le 1$. ER -