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math.CV2017
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.
math.CV2017
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…