Optimal Recovery of Functions from Numerical Information on Them and Limiting Error of the Optimal Computing Unit
Utesov A.B.
June 2022Pleiades journals
Mathematical Notes
2022#111Issue 5-6759 - 767 pp.
Abstract: The article establishes the exact order of the optimal recovery error for functions in the anisotropic Sobolev class W2r for the case in which the values of linear functionals defined on the class W2r are used as numerical information about the function. The limiting error of the computing unit that realizes the exact order of recovery is found.
anisotropic Sobolev class , computing unit , limiting error , numerical information
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Zhubanov Aktobe Regional State University, Aktobe, 030000, Kazakhstan
Zhubanov Aktobe Regional State University
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