Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space

DOI10.1134/S0001434616050126zbMath1350.41002OpenAlexW2463864642MaRDI QIDQ325527

Mohammad Hasan, M. Dambrine

Publication date: 18 October 2016

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

Full work available at URL: https://doi.org/10.1134/s0001434616050126

zbMATH Keywords

Chebyshev polynomialsweighted Sobolev spaceinterpolating polynomialsapproximation by algebraic polynomialsFourier coefficients of a 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)

Related Items (2)

On asymptotic convergence of polynomial collocation method for one class of singular integro-differential equations ⋮ Estimate of the norm of the Hermite-Fejér interpolation operator in Sobolev spaces

Cites Work

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• On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
• The Lagrange interpolation polynomials in Sobolev spaces
• An estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space
• Fast solvers of integral and pseudodifferential equations on closed curves

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