Geodesic
On irregular sampling and interpolation in Bernstein spaces
Informatics and Automation, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 193-208

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TRSPY_2018_303_a14,
     author = {A. Olevskii and A. Ulanovskii},
     title = {On irregular sampling and interpolation in {Bernstein} spaces},
     journal = {Informatics and Automation},
     pages = {193--208},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2018_303_a14/}
}
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A. Olevskii; A. Ulanovskii. On irregular sampling and interpolation in Bernstein spaces. Informatics and Automation, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 193-208. http://geodesic.mathdoc.fr/item/TRSPY_2018_303_a14/