Uniform approximation on \([-1,1]\) via discrete de la Vallée Poussin means

DOI10.1007/s11075-012-9588-4zbMath1321.41005OpenAlexW2054851674MaRDI QIDQ715128

Woula Themistoclakis

Publication date: 1 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11075-012-9588-4

zbMATH Keywords

polynomial interpolationde la Vallée Poussin meanJacobi zeros

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Approximation by polynomials (41A10)

Related Items (11)

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 ⋮ An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data ⋮ Image scaling by de la Vallée-Poussin filtered interpolation ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Filtered polynomial interpolation for scaling 3D images ⋮ Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means] ⋮ Generalized de la Vallée Poussin approximations on [-1, 1] ⋮ On the filtered polynomial interpolation at Chebyshev nodes

Cites Work

• On summability of weighted Lagrange interpolation. III: Jacobi weights
• Pointwise estimates for polynomial approximation on the semiaxis
• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• On some de la Vallée Poussin type discrete linear operators
• Some interpolating operators of de la Vallée-Poussin type
• Interpolating polynomial wavelets on \([-1,1\)]
• A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation
• Mean Convergence of Lagrange Interpolation. III
• Weak type estimates for Cesàro sums of Jacobi polynomial series
• Jacobi Polynomials. IV: A Family of Variation Diminishing Kernel
• Fast algorithms for discrete polynomial transforms
• Polynomial approximation on the sphere using scattered data
• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms
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