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Gibbs phenomenon for Fourier series on finite sets

✍ Scribed by Vladimir I. Arnold

Book ID
107526810
Publisher
Springer-Verlag
Year
2010
Weight
221 KB
Volume
3
Category
Article
ISSN
1991-0061

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Manipulating Gibbs' Phenomenon for Fourier Interpolation
✍ Gilbert Helmberg; Peter Wagner πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 319 KB

The Fourier interpolation polynomials of a periodic function with an isolated jump discontinuity at a node exhibit for growing order a Gibbs phenomenon. By a suitable definition of the function value at the jump the over-and undershoots on one side may be minimized. 1997 Academic Press n&1 j=1 (&1)