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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 193–208
DOI: https://doi.org/10.1134/S0371968518040155 (Mi tm3958) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On irregular sampling and interpolation in Bernstein spaces

A. Olevskiia, A. Ulanovskiib

a School of Mathematical Sciences, Tel Aviv University, Tel Aviv 6997801, Israel
b University of Stavanger, N-4036 Stavanger, Norway
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DOI: https://doi.org/10.1134/S0371968518040155
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.
Keywords: sampling, interpolation, Bernstein spaces.
Funding agency Grant number
Israel Science Foundation
The research of the first author is supported in part by the Israel Science Foundation.
Received: April 30, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 178–192
DOI: https://doi.org/10.1134/S0081543818080151
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. Olevskii, A. Ulanovskii, “On irregular sampling and interpolation in Bernstein spaces”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 193–208; Proc. Steklov Inst. Math., 303 (2018), 178–192
Citation in format AMSBIB
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  • https://doi.org/10.1134/S0371968518040155
  • https://www.mathnet.ru/eng/tm/v303/p193
    • This publication is cited in the following 1 articles:
    1. Alexander Olevskii, Alexander Ulanovskii, Applied and Numerical Harmonic Analysis, Sampling: Theory and Applications, 2020, 9  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Full-text PDF :61
    References:50
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