Citation
Ht. Shim et H. Volkmer, ON THE GIBBS PHENOMENON FOR WAVELET EXPANSIONS, Journal of approximation theory, 84(1), 1996, pp. 74-95
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00219045
Volume
84
Issue
1
Year of publication
1996
Pages
74 - 95
Database
ISI
SICI code
0021-9045(1996)84:1<74:OTGPFW>2.0.ZU;2-T
Abstract
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 wavelet
s. Additional results are provided on the asymptotic behavior of the G
ibbs splines and on methods to remove the Gibbs phenomenon. (C) 1996 A
cademic Press, Inc.