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A remark on a theorem of V. V. Andrievskii

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Abstract

One proves that an approximation estimate, given by V. V. Andrievskii, cannot be improved in a special domain.

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Literature cited

  1. V. V. Andrievskii, “The constructive description of classes of functions on the continua of the complex plane, taking into account the growth of the approximation polynomials,” Preprint Inst. Mat. Akad. Nauk UkrSSR, No. 12, Kiev (1983).

  2. N. A. Lebedev and N. A. Shirokov, “On the uniform approximation of functions on closed sets that have a finite number of angular points with nonzero exterior angles,” Izv. Akad. Nauk SSSR, Ser. Mat.,6, No. 4, 311–341 (1971).

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  3. E. M. Dyn'kin, “Estimates of analytic functions in Jordan domains,” J. Sov. Math.,34, No. 6 (1986).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 149, pp. 177–180, 1986.

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Shirokov, N.A. A remark on a theorem of V. V. Andrievskii. J Math Sci 42, 1665–1667 (1988). https://doi.org/10.1007/BF01665057

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  • DOI: https://doi.org/10.1007/BF01665057

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