Bivariate Lagrange interpolation at the Chebyshev nodes

DOI10.1090/S0002-9939-2010-10581-6zbMath1209.65013OpenAlexW2104855226MaRDI QIDQ3065725

Lawrence A. Harris

Publication date: 6 January 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10581-6

zbMATH Keywords

Lagrange interpolationChebyshev nodesbivariate interpolationcubature formula

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (8)

Multivariate polynomial interpolation on Lissajous-Chebyshev nodes ⋮ Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk ⋮ Optimal Points for Cubature Rules and Polynomial Interpolation on a Square ⋮ Learning mixtures of polynomials of multidimensional probability densities from data using B-spline interpolation ⋮ A bivariate Markov inequality for Chebyshev polynomials of the second kind ⋮ Bivariate Lagrange interpolation at the node points of Lissajous curves -- the degenerate case ⋮ Lagrange polynomials, reproducing kernels and cubature in two dimensions ⋮ Bivariate Lagrange interpolation at the checkerboard nodes

Cites Work

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• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• A proof of Markov's theorem for polynomials on Banach spaces
• Lagrange interpolation on Chebyshev points of two variables
• On minimal cubature formulae for product weight functions
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• Multivariate Markov polynomial inequalities and Chebyshev nodes
• Hyperinterpolation on the square

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