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Uniform approximation of analytic functions by polynomials in domains with a boundary of bounded rotation and without zero exterior angles

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Abstract

One obtains direct theorems of the constructive function theory for domains on the indicated type. In the neighborhood of the points where the exterior angle is equal to 2π, one obtains a new effect in the approximation by polynomials, related to the possibly different properties of the boundary of the domain along the different sides from a similar point.

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Authors
  1. N. A. Shirokov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 65, pp. 199–202, 1976.

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Shirokov, N.A. Uniform approximation of analytic functions by polynomials in domains with a boundary of bounded rotation and without zero exterior angles. J Math Sci 16, 1186–1189 (1981). https://doi.org/10.1007/BF02427732

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  • DOI: https://doi.org/10.1007/BF02427732

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