Email this article On Irregular Sampling and Interpolation in Bernstein Spaces
- Authors: Olevskii A.1, Ulanovskii A.2
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Affiliations:
- School of Mathematical Sciences
- University of Stavanger
- Issue: Vol 303, No 1 (2018)
- Pages: 178-192
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175673
- DOI: https://doi.org/10.1134/S0081543818080151
- ID: 175673
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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.
About the authors
Alexander Olevskii
School of Mathematical Sciences
Author for correspondence.
Email: olevskii@post.tau.ac.il
Israel, Tel Aviv, 6997801
Alexander Ulanovskii
University of Stavanger
Author for correspondence.
Email: Alexander.Ulanovskii@uis.no
Norway, Stavanger, N-4036
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