Polynomial wavelets on the interval

DOI10.1007/BF02432856zbMath0848.41004OpenAlexW2050078249MaRDI QIDQ1915991

Theodore Kilgore, Jürgen Prestin

Publication date: 2 July 1996

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432856

zbMATH Keywords

waveletsChebyshev polynomialsdecompositionreconstruction

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (16)

Wavelet bases for Hilbert spaces of functions ⋮ On the construction of wavelets on a bounded interval ⋮ Unnamed Item ⋮ Polynomial wavelets on the unit circle ⋮ Polynomial scaling functions for numerical solution of generalized Kuramoto–Sivashinsky equation ⋮ Filter matrix based on interpolation wavelets for solving Fredholm integral equations ⋮ Wavelets based on orthogonal polynomials ⋮ Uniform wavelet-approximation of singular integral equation solutions ⋮ Highly accurate numerical scheme based on polynomial scaling functions for equal width equation ⋮ A recursive procedure to obtain a class of orthogonal polynomial wavelets ⋮ Interpolating polynomial wavelets on \([-1,1\)] ⋮ Application of polynomial scaling functions for numerical solution of telegraph equation ⋮ Orthonormal polynomial wavelets on the interval ⋮ Sturm-Liouville wavelets ⋮ Special Wavelets Based on Chebyshev Polynomials of the Second Kind and their Approximative Properties ⋮ Interpolation of functions from Besov-type spaces on Gauß-Chebyshev grids

Cites Work

• The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials
• Lagrange interpolation on extended generalized Jacobi nodes
• On trigonometric wavelets
• Trigonometric interpolation and wavelet decompositions
• Mean Convergence of Lagrange Interpolation. III
• Ten Lectures on Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• On Weighted L p -Convergence of Certain Lagrange Interpolation
• Positivity of the Weights of Extended Clenshaw-Curtis Quadrature Rules
• Einseitige Approximation durch Polynome, mit Anwendungen
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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