The Gibbs phenomenon for best \(L_ 1\)-trigonometric polynomial approximation

DOI10.1007/BF01208562zbMath0838.42001MaRDI QIDQ1900961

Edward B. Saff, E. S. Moskona, Pencho P. Petrushev

Publication date: 9 May 1996

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

zbMATH Keywords

Gibbs phenomenon\(L_ 1\)-Gibbs constantbest trigonometric approximants

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50)

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Gibbs phenomena for L^q-best approximation in finite element spaces ⋮ \(L_1\) spline fits via sliding window process: continuous and discrete cases ⋮ An averaging method for the Fourier approximation to discontinuous functions ⋮ Best \(L_{1}\) approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces ⋮ Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation

Cites Work

• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• The Gibbs pheonomenon and Bochner's summation method. I
• On the interaction of electromagnetic waves with charged particles and on the oscillations of the electronic plasma
• The Gibbs Phenomenon for Piecewise-Linear Approximation
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