Generalized de la Vallée Poussin approximations on [-1, 1]

DOI10.1007/s11075-016-0194-8zbMath1366.41008OpenAlexW2342096538MaRDI QIDQ526705

Marc Van Barel, Woula Themistoclakis

Publication date: 15 May 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/547570

zbMATH Keywords

Gibbs phenomenonLebesgue constantdiscrete and continuous generalized de la Vallée Poussin means

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation by polynomials (41A10) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (10)

Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Filtered integration rules for finite weighted Hilbert transforms ⋮ Some error bounds for Gauss-Jacobi quadrature rules ⋮ Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes ⋮ Image scaling by de la Vallée-Poussin filtered interpolation ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Uniform approximation on the sphere by least squares polynomials ⋮ Filtered polynomial interpolation for scaling 3D images ⋮ Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means] ⋮ On the filtered polynomial interpolation at Chebyshev nodes

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