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The Gibbs phenomenon for bestL1-trigonometric polynomial approximation

✍ Scribed by E. Moskona; P. Petrushev; E. B. Saff


Publisher
Springer
Year
1995
Tongue
English
Weight
902 KB
Volume
11
Category
Article
ISSN
0176-4276

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On the Gibbs Phenomenon for Wavelet Expa
✍ Hong-Tae Shim; Hans Volkmer πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 585 KB

It is shown that a Gibbs phenomenon occurs in the wavelet expansion of a function with a jump discontinuity at 0 for a wide class of wavelets. Additional results are provided on the asymptotic behavior of the Gibbs splines and on methods to remove the Gibbs phenomenon.