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Approximation numbers and approximation of the eigenvalues of integral operators

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Literature cited

  1. K. I. Babenko, “On certain problems of approximation theory and numerical analysis,” Usp. Mat. Nauk,40, No. 1, 3–27 (1985).

    Google Scholar 

  2. F. Riesz and B. Sz. Nagy, Lectures on Functional Analysis [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  3. A. Pietsch, Operator Ideals, North-Holland, Amsterdam (1980).

    Google Scholar 

  4. V. N. Temlyakov, “On the approximation of periodic functions of several variables,” Dokl. Akad. Nauk SSSR,279, No. 2, 301–305 (1984).

    Google Scholar 

  5. S. Heinrich, On the Optimal Error of Degenerate Kernel Methods, Forchungsergebnisse-Freidrich-Schiller-Universität Jena, No. 84/2 (1984).

  6. G. M. Vainikko, “Error estimates of the Bubnov-Galerkin method in the eigenvalue problem,” Zh. Vychisl. Mat. Mat. Fiz.,5, No. 4, 587–607 (1965).

    Google Scholar 

  7. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. V. N. Tikhomirov, Certain Questions of Approximation Theory [in Russian], Moscow State Univ., Moscow (1976).

    Google Scholar 

  9. S. V. Pereverzev, “Optimization of the approximation-iterative methods for the approximate solution of integral equations with differentiable kernels,” Sib. Mat. Zh.,26, No. 3, 106–116 (1985).

    Google Scholar 

  10. N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  11. M. Sh. Birman and M. Z. Solomyak, “Estimates of the singular numbers of integral operators,” Usp. Mat. Nauk,32, No. 1, 17–84 (1977).

    Google Scholar 

  12. E. Schäfer, “Fehlerabschätzungen für Eigenvertnäherungen nach der Ersatzkernmethode bei Integralgleichungen,” Numer. Mat.,32, No. 3, 281–290 (1979).

    Google Scholar 

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Authors and Affiliations

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

    S. V. Pereverzev

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  1. S. V. Pereverzev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 204–209, March–April, 1987.

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Pereverzev, S.V. Approximation numbers and approximation of the eigenvalues of integral operators. Ukr Math J 39, 171–175 (1987). https://doi.org/10.1007/BF01057499

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  • DOI: https://doi.org/10.1007/BF01057499

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