Near-best multivariate approximation by Fourier series, Chebyshev series and Chebyshev interpolation

DOI10.1016/0021-9045(80)90069-6zbMath0439.42002OpenAlexW2081933490MaRDI QIDQ1142380

John C. Mason

Publication date: 1980

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90069-6

zbMATH Keywords

Chebyshev seriesChebyshev interpolationnear-best multivariate approximation by Fourier series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

Related Items

Near-best approximate solutions for a class of elliptic partial differential equations, Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes, Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow, Multivariate polynomial approximation in the hypercube, Polynomial approximation of symmetric functions, Chebfun in Three Dimensions, The Lebesgue constant for Lagrange interpolation in the simplex, Empirical measures: regularity is a counter-curse to dimensionality, Functional Tucker Approximation Using Chebyshev Interpolation

Cites Work

• Best and near-best \(L_ 1\) approximations by Fourier series and Chebyshev series
• On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria
• Chebyshev Polynomial Approximations for the L-Membrane Eigenvalue Problem
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