Geodesic
Optimal Recovery of Functions from Numerical Information on Them and Limiting Error of the Optimal Computing Unit
Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 752-761.

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The article establishes the exact order of the optimal recovery error for functions in the anisotropic Sobolev class $W_2^{\mathbf r}$ for the case in which the values of linear functionals defined on the class $W_2^{\mathbf r}$ are used as numerical information about the function. The limiting error of the computing unit that realizes the exact order of recovery is found.
Keywords: numerical information, computing unit, limiting error
Mots-clés : anisotropic Sobolev class. 
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A. B. Utesov. Optimal Recovery of Functions from Numerical Information on Them and Limiting Error of the Optimal Computing Unit. Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 752-761. http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a8/

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