Subperiodic trigonometric interpolation and quadrature

DOI10.1016/j.amc.2012.04.024zbMath1252.65219OpenAlexW2041753472MaRDI QIDQ450290

Marco Vianello, L. P. Bos

Publication date: 13 September 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.024

zbMATH Keywords

trigonometric interpolationcubature formulasChebyshev polynomialLebesgue constantsubperiodic trigonometric interpolationsubperiodic trigonometric quadratureunisolvent nodes

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (11)

Subperiodic trigonometric subsampling: A numerical approach ⋮ Polynomial fitting and interpolation on circular sections ⋮ Compression of Multivariate Discrete Measures and Applications ⋮ On configurations of points on the sphere and applications to approximation of holomorphic functions by Lagrange interpolants ⋮ Subperiodic Trigonometric Hyperinterpolation ⋮ Algebraic cubature by linear blending of elliptical arcs ⋮ A new stable basis for radial basis function interpolation ⋮ Numerical hyperinterpolation over nonstandard planar regions ⋮ Polynomial approximation and quadrature on geographic rectangles ⋮ Monotone trigonometric approximation ⋮ Numerical quadrature on the intersection of planar disks

Uses Software

• OPQ

Cites Work

• Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\)
• A note on some Lebesgue constants
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• Auswertung der Normen von Interpolationsoperatoren
• Barycentric Lagrange Interpolation
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