The density of extreme points in complex polynomial approximation
نویسندگان
چکیده
منابع مشابه
The Density of Extreme Points in Complex Polynomial Approximation
Let K be a compact set in the complex plane having connected and regular complement, and let / be any function continuous on K and analytic in the interior of K. For the polynomials pn(¡) of respective degrees at most n of best uniform approximation to / on K, we investigate the density of the sets of extreme points And) :={zeK: \f{z) p*n{f)(z)\ = \\f Pn(¡)\\K} in the boundary of K.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0938669-x