Interpolating polynomial wavelets on \([-1,1]\)

DOI10.1007/s10444-004-1828-2zbMath1071.65192OpenAlexW2065868483MaRDI QIDQ1776160

Woula Themistoclakis, Maria Rosaria Capobianco

Publication date: 20 May 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-1828-2

zbMATH Keywords

Chebyshev polynomialsinterpolating waveletsmultiresolutionde la Vallée Poussin meanpolynomial waveletsfast discrete cosine and sine transformsinterpolating scaling functions

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical interpolation (65D05)

Related Items (13)

Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Unnamed Item ⋮ Some error bounds for Gauss-Jacobi quadrature rules ⋮ Image scaling by de la Vallée-Poussin filtered interpolation ⋮ Filtered polynomial interpolation for scaling 3D images ⋮ Uniform wavelet-approximation of singular integral equation solutions ⋮ Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means] ⋮ Generalized Gibbs phenomenon for Fourier partial sums and de la Vallée-Poussin sums ⋮ Uniform approximation on \([-1,1\) via discrete de la Vallée Poussin means] ⋮ On the filtered polynomial interpolation at Chebyshev nodes ⋮ On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses ⋮ Interpolatory filter banks and interpolatory wavelet packets ⋮ Special Wavelets Based on Chebyshev Polynomials of the Second Kind and their Approximative Properties

Cites Work

• Some interpolating operators of de la Vallée-Poussin type
• The numerical solution of the generalized airfoil equation
• Fast radix-\(p\) discrete cosine transform
• Wavelets on the interval and fast wavelet transforms
• Using the matrix refinement equation for the construction of wavelets on invariant sets
• Orthogonal polynomial wavelets
• On the construction of wavelets on a bounded interval
• Polynomial wavelets on the interval
• Mean Convergence of Lagrange Interpolation. III
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Wavelets based on orthogonal polynomials
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