TY - JOUR
T1 - On Irregular Sampling and Interpolation in Bernstein Spaces
AU - Olevskii, Alexander
AU - Ulanovskii, Alexander
N1 - Publisher Copyright:
© 2018, Pleiades Publishing, Ltd.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85062500073&partnerID=8YFLogxK
U2 - 10.1134/S0081543818080151
DO - 10.1134/S0081543818080151
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AN - SCOPUS:85062500073
SN - 0081-5438
VL - 303
SP - 178
EP - 192
JO - Proceedings of the Steklov Institute of Mathematics
JF - Proceedings of the Steklov Institute of Mathematics
IS - 1
ER -