Sample numbers and optimal Lagrange interpolation in Sobolev spaces

DOI10.1216/rmj.2021.51.347zbMath1475.41003OpenAlexW3168974851MaRDI QIDQ1981368

Hui Wang, Gui Qiao Xu

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.347

zbMATH Keywords

Sobolev spacesampling numbersoptimal Lagrange interpolation algorithm

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

A note on optimal Hermite interpolation in Sobolev spaces ⋮ A kind of sharp Wirtinger inequalities ⋮ Unnamed Item ⋮ Sample numbers and optimal Lagrange interpolation of Sobolev spaces \(W_1^r\) ⋮ Optimal Birkhoff interpolation and Birkhoff numbers in some function spaces

Cites Work

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• Tractability of multivariate problems. Volume I: Linear information
• Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\)
• On node distributions for interpolation and spectral methods
• The Classical Orthogonal Polynomials
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey

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