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Estimates of best bilinear approximations of functions and approximation numbers of integral operators

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Literature cited

  1. V. N. Temlyakov, “Bilinear approximation and applications,” Tr. MIAN,187, 191–215 (1989).

    Google Scholar 

  2. V. N. Temlyakov, “On estimates of approximation numbers and best linear approximation,” Constr. Approx.,8, No. 1, 23–33 (1992).

    Google Scholar 

  3. S. Heinrich, “On the optimal error of degenerate kernel methods,” J. Integral Equations,9, No. 3, 251–266 (1985).

    Google Scholar 

  4. M.-B. A. Babaev, “Approximation of Sobolev classes of functions by sums of products of functions of a lesser number of variables,” Mat. Zametki,48, No. 6, 10–21 (1990).

    Google Scholar 

  5. V. N. Temlyakov, “Estimates of asymptotic characteristic classes of functions with a bounded mixed derivative or difference,” Tr. MIAN,189, 138–168 (1989).

    Google Scholar 

  6. B. S. Kashin, “On some properties of spaces of trigonometric polynomials with uniform norm,” Tr. MIAN,145, 111–116 (1980).

    Google Scholar 

  7. A. Zygmund, Trigonometric Series [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  8. S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, USSR

    V. N. Temlyakov

  2. Russian Academy of Sciences, USSR

    V. N. Temlyakov

Authors
  1. V. N. Temlyakov
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Translated from Matematicheskie Zametki, Vol. 51, No. 5, pp. 125–134, May, 1992.

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Temlyakov, V.N. Estimates of best bilinear approximations of functions and approximation numbers of integral operators. Math Notes 51, 510–517 (1992). https://doi.org/10.1007/BF01262187

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  • DOI: https://doi.org/10.1007/BF01262187

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