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On uniform approximation in a closed region by means of generalized Faber polynomials

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Literature cited

  1. V. I. Smirnov and N. A. Lebedev, Constructive Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow-Leningrad (1964).

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  2. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], GITTL, Moscow-Leningrad (1952).

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  3. V. K. Dzyadyk, “On the question of approximating continuous functions in closed regions with angles, and of S. M. Nikol'skii's problem. I,” Izv. Akad. Nauk SSSR,26 (1962).

  4. V. K. Dzyadyk, “On the theory of approximating analytic functions which are continuous in closed regions, and of the problem of S. M. Nikol'skii. II,” Izv. Akad. Nauk SSSR,27 (1963).

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Authors and Affiliations

  1. A. F. Mozhaiskii Leningrad Military Engineering Academy of the Order of the Red Banner, USSR

    A. V. Stovbun

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  1. A. V. Stovbun
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.21, No. 6, pp. 849–857, November–December, 1969.

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Stovbun, A.V. On uniform approximation in a closed region by means of generalized Faber polynomials. Ukr Math J 21, 711–717 (1969). https://doi.org/10.1007/BF01085205

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  • DOI: https://doi.org/10.1007/BF01085205

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