Near-Circularity in Capacity and Maximally Convergent Polynomials

If f is a power series with radius R of convergence, $$R > 1$$ R > 1 , it is well-known that the method of Carathéodory–Fejér constructs polynomial approximations of f on the closed unit disk which show the typical phenomenon of near-circularity on the unit circle. Let E be compact and connect...

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Vydané v:	Computational methods and function theory Ročník 25; číslo 2; s. 279 - 300
Hlavný autor:	Blatt, Hans-Peter
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Heidelberg Springer Nature B.V 01.06.2025
Predmet:	Approximation Circularity Convergence Equilibrium Error functions Green's functions Polynomials Power series Winding
ISSN:	1617-9447, 2195-3724
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