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On the degree of approximation by wavelet expansions

✍ Scribed by Sun Xiehua


Publisher
Springer
Year
1998
Tongue
English
Weight
313 KB
Volume
14
Category
Article
ISSN
1573-8175

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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.