11 citations · 17 across the 14 of their papers we have counts for
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Bernstein Polynomial Inequality on a Compact Subset of the Real Line
Vladimir Andrievskii
We prove an analogue of the classical Bernstein polynomial inequality on a compact subset of the real line. The Lipschitz continuity of the Green function for the complement of…
On Hilbert lemniscate theorem for a system of continua
Vladimir Andrievskii
Let be a compact set in the complex plane consisting of a finite number of continua. We study the rate of approximation of from the outside by lemniscates in terms of level…
On the Totik-Widom property for a Quasidisk
V. Andrievskii, F. Nazarov
Let be a quasidisk on the complex plane. We construct a sequence of monic polynomials with zeros on such that as $…
Polynomial approximation on a compact subset of the real line
Vladimir Andrievskii
We prove an analogue of the classical Bernstein theorem concerning the rate of polynomial approximation of piecewise analytic functions on a compact subset of the real line.
On Chebyshev polynomials in the complex plane
Vladimir Andrievskii
The estimates of the uniform norm of the Chebyshev polynomials associated with a compact set in the complex plane are established. These estimates are exact (up to a constant f…
On Lebesgue Constants for Interpolation Points on a Quasiconformal Arc
Vladimir Andrievskii
Using the theory of quasiconformal mappings, we simplify the proof of the recent result by Taylor and Totik (see IMA Journal of Numerical Analysis 30 (2010) 462--486) on the behavi…