Gibbs-Wilbraham splines

DOI10.1007/BF01294337zbMath0822.41011OpenAlexW1981798406MaRDI QIDQ1891953

F. B. Richards, James H. Foster

Publication date: 6 June 1995

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

Full work available at URL: https://doi.org/10.1007/bf01294337

zbMATH Keywords

Gibbs phenomenonspline function

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (4)

On an algorithm to adapt spline approximations to the presence of discontinuities ⋮ On a class of splines free of Gibbs phenomenon ⋮ On the Gibbs–Wilbraham Phenomenon for Sampling and Interpolatory Series ⋮ Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Cites Work

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• A simple approach to cardinal Lagrange and periodic Lagrange splines
• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• A Gibbs phenomenon for spline functions
• Uniform spline interpolation operators in L\(_2\)
• The Lebesgue constants for cardinal spline interpolation
• Cardinal spline interpolation in \(L_2\)
• The Gibbs phenomenon for Fourier interpolation
• Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
• Gibbs' phenomenon for Fourier-Bessel series
• On the Cardinal Spline Interpolant to $e^{iut} $

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