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Exact values of widths for certain functional classes

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Abstract

For classes of functions analytic in a unit circle in a Hardy-Banach space, we obtain exact values of Kolmogorov widths in the case where the metrics of the class and the space do not coincide.

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References

  1. A. Pinkus,N-Widths in Approximation Theory, Springer-Verlag, Berlin 1985.

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  2. V. M. Tikhomirov, “Theory of approximation,” in:VINITI Series in Contemporary Problems in Mathematics [in Russian], Vol. 14, VINITI, Moscow (1987), pp. 103–260.

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  3. R. S. Ismagilov, “Onn-dimensional widths of compact sets in a Hilbert space,”Funkts. Anal.,2, No. 2, 32–39 (1968).

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Authors
  1. S. B. Vakarchuk
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Vakarchuk, S.B. Exact values of widths for certain functional classes. Ukr Math J 48, 151–153 (1996). https://doi.org/10.1007/BF02390993

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  • DOI: https://doi.org/10.1007/BF02390993

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