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. 
@article{MZM_2022_111_5_a8,
     author = {A. B. Utesov},
     title = {Optimal {Recovery} of {Functions} from {Numerical} {Information} on {Them} and {Limiting} {Error} of the {Optimal} {Computing} {Unit}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {752--761},
     publisher = {mathdoc},
     volume = {111},
     number = {5},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a8/}
}
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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/