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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 254, Pages 235–243 (Mi znsl926)

Constructive descriptions of classes of functions with the help of polynomial approximations. II

N. A. Shirokov

Saint-Petersburg State Electrotechnical University

Abstract: The Hölder classes of functions analytic in a domain $D$ are considered. In the case where $D$ has bounded boundary rotation and no zero exterior angles, a collection of polynomial approximations describing these classes of functions is constructed, which is economical in a certain sense.

UDC: 539.12

Received: 25.02.1998


 English version:
Journal of Mathematical Sciences (New York), 2001, 105:4, 2292–2298

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