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The Gibbs Phenomenon for Piecewise-Linear Approximation

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Publication:3984351
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DOI10.2307/2324037zbMath0735.42001OpenAlexW2011153164MaRDI QIDQ3984351

F. B. Richards, James H. Foster

Publication date: 27 June 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7d1cca432c71d65965e176c92df9ca6b0f93f4fb


zbMATH Keywords

Fourier seriesGibbs phenomenonovershootbest least squares approximationclassroom note


Mathematics Subject Classification ID

Trigonometric approximation (42A10)


Related Items (6)

The Gibbs phenomenon for best \(L_ 1\)-trigonometric polynomial approximation ⋮ On the convergence rate of the unscented transformation ⋮ The Fourier-series method for inverting transforms of probability distributions ⋮ Lagrange interpolation for continuous piecewise smooth functions ⋮ A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model ⋮ WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces




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