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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1998 Volume 62, Issue 1, Pages 21–58 (Mi im182)

This article is cited in 29 papers

The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points

S. N. Kudryavtsev


Abstract: We find the order of the best accuracy of reconstruction of functions in the Nikolskii and Besov classes (along with their derivatives up to a certain order) from their values at a given number of points.

MSC: 41A63, 41A46

Received: 06.02.1997

DOI: 10.4213/im182


 English version:
Izvestiya: Mathematics, 1998, 62:1, 19–53

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© Steklov Math. Inst. of RAS, 2024