Geodesic
On irregular sampling and interpolation in Bernstein spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 193-208

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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, Bernstein spaces.
Mots-clés : interpolation 
@article{TM_2018_303_a14,
     author = {A. Olevskii and A. Ulanovskii},
     title = {On irregular sampling and interpolation in {Bernstein} spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {193--208},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_303_a14/}
}
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A. Olevskii; A. Ulanovskii. On irregular sampling and interpolation in Bernstein spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 193-208. http://geodesic.mathdoc.fr/item/TM_2018_303_a14/