Authors
Citation
G. Helmberg, THE GIBBS PHENOMENON FOR FOURIER INTERPOLATION, Journal of approximation theory, 78(1), 1994, pp. 41-63
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00219045
Volume
78
Issue
1
Year of publication
1994
Pages
41 - 63
Database
ISI
SICI code
0021-9045(1994)78:1<41:TGPFFI>2.0.ZU;2-I
Abstract
The Fourier interpolation polynomials for periodic functions with an i
solated jump discontinuity exhibit for growing order a Gibbs phenomeno
n. The over- and undershots differ, however, from the ones appearing f
or the partial sums of the Fourier series and depend on the coincidenc
e of the jump with interpolation nodes. (C) 1994 Academic Press, Inc.