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Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel

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Literature cited

  1. G. Freud, “Über die Approximation reeler stetigen Funktionen durch gewöhnliche Polynome,” Math. Ann., 137, No. 1, 17–25 (1959).

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  2. Yu. A. Brudnyi, “On one method of approximating bounded functions given on a segment,” in: Investigations in Modern Problems in the Constructive Theory of Functions [in Russian], Izd. AN AzSSR, Baku (1965).

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  3. Yu. A. Brudnyi, “Approximation of functions by algebraic polynomials,” Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 4 (1968).

  4. V. K. Dzyadyk and V. N. Konovalov, “Method of expanding unity and some of its applications to the approximation by algebraic polynomials of functions in regions with smooth and piecewise smooth boundaries,” Preprint [in Russian] IM-72-4.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    V. K. Dzyadyk & V. N. Konovalov

Authors
  1. V. K. Dzyadyk
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  2. V. N. Konovalov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 179–192, March–April, 1973.

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Dzyadyk, V.K., Konovalov, V.N. Method of expanding unity in regions with piecewise smooth boundaries as sums of algebraic polynomials of two variables having certain properties of a kernel. Ukr Math J 25, 146–155 (1973). https://doi.org/10.1007/BF01096973

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  • DOI: https://doi.org/10.1007/BF01096973

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