A. Olevskii, A. Ulanovskii, “On irregular sampling and interpolation in Bernstein spaces”, Trudy Mat. Inst. Steklova, 2018, Volume 303,Pages <nobr>193

This article is cited in 1 paper

On irregular sampling and interpolation in Bernstein spaces

A. Olevskii^a, A. Ulanovskii^b

^a School of Mathematical Sciences, Tel Aviv University, Tel Aviv 6997801, Israel
^b University of Stavanger, N-4036 Stavanger, Norway

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.

UDC: 517.518

Received: April 30, 2018

DOI: 10.1134/S0371968518040155