MANIPULATING GIBBS PHENOMENON FOR FOURIER INTERPOLATION

Authors
HELMBERG G WAGNER P
Citation
G. Helmberg et P. Wagner, MANIPULATING GIBBS PHENOMENON FOR FOURIER INTERPOLATION, Journal of approximation theory, 89(3), 1997, pp. 308-320
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
89
Issue
3
Year of publication
1997
Pages
308 - 320
Database
ISI
SICI code
0021-9045(1997)89:3<308:MGPFFI>2.0.ZU;2-Z
Abstract
Thr Fourier interpolation polynomials of a periodic function with an i solated jump discontinuity at a node exhibit for growing order a Gibbs phenomenon. By a suitable definition of the Function value at the jum p the over- and undershoots on one side may be minimized. (C) 1997 Aca demic Press.