This article is cited in 5 papers

Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes

S. N. Kudryavtsev


Abstract: We find weak asymptotics of approximation characteristics related to the problem of recovering (reconstructing) the derivative from the function values at a given number of points, Stechkin's problem for the derivation operator, and the problem of describing asymptotics of diameters for non-isotropic Nikol'skii and Besov classes.

UDC: 517.5

MSC: 46E35, 47F05, 47A58, 41A05, 41A10, 41A46, 41A63

Received: 06.02.2002

DOI: 10.4213/im467

 English version: Izvestiya: Mathematics, 2004, 68:1, 77–123

Bibliographic databases:

• 
• 
• 
•