The best approximation of Laplace operator by linear bounded operators in the space \(L_p\)

DOI10.3103/S1066369X11060089zbMath1252.47013MaRDI QIDQ1759177

Anton A. Koshelev

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorKolmogorov inequalityoptimal recoveryStechkin problemapproximation of unbounded operators by bounded ones

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear operator approximation theory (47A58)

Related Items (2)

The Landau-Kolmogorov problem for the Laplace operator on a ball ⋮ The best \(L_{p}\) approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables

Cites Work

• Best approximation of unbounded operators by bounded ones
• Best approximation of linear operators
• Approximation of unbounded operators by bounded operators and related extremal problems
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