Fedor Nazarov

collaborators

2 papers

math.CV2018

On the Totik-Widom property for a Quasidisk

V. Andrievskii, F. Nazarov

Let $K$ be a quasidisk on the complex plane. We construct a sequence of monic polynomials $p_{n} = p_{n} (\cdot, K)$ with zeros on $K$ such that $∣∣ p_{n} ∣ ∣_{K} \leq O (1) cap (K)^{n}$ as $…

math.CA2009

Asymptotics of the best polynomial approximation of $∣ x ∣^{p}$ and of the best Laurent polynomial approximation of $\sgn(x)$ on two symmetric intervals

F. Nazarov, F. Peherstorfer, A. Volberg +1

We present a new method that allows us to get a direct proof of the classical Bernstein asymptotics for the error of the best uniform polynomial approximation of $∣ x ∣^{p}$ on two sym…

On the Totik-Widom property for a Quasidisk

Asymptotics of the best polynomial approximation of ∣x∣p and of the best Laurent polynomial approximation of $\sgn(x)$ on two symmetric intervals

Asymptotics of the best polynomial approximation of $∣ x ∣^{p}$ and of the best Laurent polynomial approximation of $\sgn(x)$ on two symmetric intervals