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A converse of the theorem of mean approximation in domains with corners

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. J. Z. Walsh and H. G. Russell, “Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions,” Trans. Amer. Math. Society,92, No. 2 (1959).

  2. S. Ya. Al'per, On the Approximation in the Mean of Analytic Functions of Class Ep, Examined by Means of the Contemporary Theory of Complex Functions [in Russian], Fizmatgiz, Moscow (1960).

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  3. M. I. Andrashko and L. I. Kolesnik, “The mean approximation of analytic functions in a domain with corners,” Transactions on the Properties of Functions and Mappings, Vol. 2, Donetsk (1970).

  4. V. K. Dzyadyk, “On a problem of S. M. Nikol'skii in a complex domain,” Izv. Akad. Nauk SSSR, Ser. Matem.,23, No. 5 (1959).

  5. V. K. Dzyadyk, “On a problem of approximation of continuous functions in a closed domain with corners, and the problem of S. M. Nikol'skii,” Izv. Akad. Nauk SSSR, Ser. Matem.,26, No. 6 (1962).

  6. M. I. Andrashko, “An inequality for the derivative of an algebraic polynomial in the metric Lp (p ≥ 1) in a domain with corners,” Usp. Matem. Zh.,16, No. 4 (1964).

  7. I. I. Privalov, The Boundary Behavior of Analytic Functions [in Russian], GITTL, Moscow (1950).

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Authors and Affiliations

  1. Nezhinskii Pedagogical Institute, USSR

    L. I. Kolesnik & M. I. Andrashko

Authors
  1. L. I. Kolesnik
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  2. M. I. Andrashko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 1, pp. 97–104, January–February, 1971.

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Kolesnik, L.I., Andrashko, M.I. A converse of the theorem of mean approximation in domains with corners. Ukr Math J 23, 85–91 (1971). https://doi.org/10.1007/BF01086594

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  • DOI: https://doi.org/10.1007/BF01086594

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