On Irregular Sampling and Interpolation in Bernstein Spaces

Alexander Olevskii*, Alexander Ulanovskii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)178-192
Number of pages15
JournalProceedings of the Steklov Institute of Mathematics
Volume303
Issue number1
DOIs
StatePublished - 1 Nov 2018

Funding

FundersFunder number
Israel Science Foundation

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