The density of extreme points in complex polynomial approximation

Authors:
András Kroó and E. B. Saff

Journal:
Proc. Amer. Math. Soc. **103** (1988), 203-209

MSC:
Primary 30E10; Secondary 41A10, 41A50

DOI:
https://doi.org/10.1090/S0002-9939-1988-0938669-X

MathSciNet review:
938669

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a compact set in the complex plane having connected and regular complement, and let be any function continuous on and analytic in the interior of . For the polynomials of respective degrees at most of best uniform approximation to on , we investigate the density of the sets of extreme points

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1988-0938669-X

Keywords:
Polynomial approximation,
extreme points,
Chebyshev polynomials,
best approximants

Article copyright:
© Copyright 1988
American Mathematical Society