We obtain sharp estimates for the sampling constants in Bernstein spaces when the density of the sampling set is near the critical value.
Nous obtenons des estimations finales pour les constantes de l'échantillonnage dans les espaces de Bernstein lorsque la densité des échantillons est proche de la valeur critique.
Accepted:
Published online:
Alexander Olevskii 1; Alexander Ulanovskii 2
@article{CRMATH_2015__353_1_47_0, author = {Alexander Olevskii and Alexander Ulanovskii}, title = {On irregular sampling in {Bernstein} spaces}, journal = {Comptes Rendus. Math\'ematique}, pages = {47--50}, publisher = {Elsevier}, volume = {353}, number = {1}, year = {2015}, doi = {10.1016/j.crma.2014.10.018}, language = {en}, }
Alexander Olevskii; Alexander Ulanovskii. On irregular sampling in Bernstein spaces. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 47-50. doi : 10.1016/j.crma.2014.10.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.018/
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