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On Irregular Sampling and Interpolation in Bernstein Spaces

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Abstract

Sharp estimates of the sampling and interpolation constants in spaces of polynomials are obtained. These estimates are used to deduce asymptotically sharp estimates of the sampling and interpolation constants for Bernstein spaces as the density of a sampling set approaches the critical value.

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References

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 6997801, Israel

    Alexander Olevskii

  2. University of Stavanger, N-4036, Stavanger, Norway

    Alexander Ulanovskii

Authors
  1. Alexander Olevskii
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  2. Alexander Ulanovskii
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Corresponding authors

Correspondence to Alexander Olevskii or Alexander Ulanovskii.

Additional information

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 303, pp. 193–208.

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Olevskii, A., Ulanovskii, A. On Irregular Sampling and Interpolation in Bernstein Spaces. Proc. Steklov Inst. Math. 303, 178–192 (2018). https://doi.org/10.1134/S0081543818080151

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  • DOI: https://doi.org/10.1134/S0081543818080151

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