The best \(L_{p}\) approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables

DOI10.1134/S0081543812050136zbMath1305.41021OpenAlexW2053328968MaRDI QIDQ742282

Anton A. Koshelev

Publication date: 18 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812050136

zbMATH Keywords

approximationLaplace operatorKolmogorov inequalityoptimal recovery

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Unnamed Item
• The best approximation of Laplace operator by linear bounded operators in the space \(L_p\)
• Approximation of unbounded operators by bounded operators and related extremal problems

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