An estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space

DOI10.1134/S000143460703011XzbMATH Open1132.41001OpenAlexW2059461725MaRDI QIDQ2473714

Yanyan Li

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143460703011x

zbMATH Keywords

rate of convergenceSobolev spaceinterpolation polynomialLagrange interpolation operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation in approximation theory (41A05)

Cites Work

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Related Items (5)

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space ⋮ On an interpolation problem with the smallest \(L_2\)-norm of the Laplace operator ⋮ Interpolation between Sobolev Spaces in Lipschitz Domains with an Application to Multigrid Theory ⋮ Estimate of the norm of the Hermite-Fejér interpolation operator in Sobolev spaces ⋮ A Multivariate Form of Hardy's Inequality and $L_p$-Error Bounds for Multivariate Lagrange Interpolation Schemes

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