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.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 303, pp. 193–208.
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Olevskii, A., Ulanovskii, A. On Irregular Sampling and Interpolation in Bernstein Spaces. Proc. Steklov Inst. Math. 303, 178–192 (2018). https://doi.org/10.1134/S0081543818080151
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DOI: https://doi.org/10.1134/S0081543818080151