Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes
Izvestiya. Mathematics , Tome 68 (2004) no. 1, pp. 77-123
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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.
@article{IM2_2004_68_1_a3,
author = {S. N. Kudryavtsev},
title = {Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes},
journal = {Izvestiya. Mathematics },
pages = {77--123},
publisher = {mathdoc},
volume = {68},
number = {1},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_1_a3/}
}
TY - JOUR AU - S. N. Kudryavtsev TI - Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes JO - Izvestiya. Mathematics PY - 2004 SP - 77 EP - 123 VL - 68 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2004_68_1_a3/ LA - en ID - IM2_2004_68_1_a3 ER -
S. N. Kudryavtsev. Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes. Izvestiya. Mathematics , Tome 68 (2004) no. 1, pp. 77-123. http://geodesic.mathdoc.fr/item/IM2_2004_68_1_a3/