Geodesic
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. 
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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/

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