Manipulating Gibbs' phenomenon for Fourier interpolation

被引：8

作者：

Helmberg, G

Wagner, P

机构：

[1] Inst. für Math. und Geometrie, Universität Innsbruck, A-6020 Innsbruck

来源：

JOURNAL OF APPROXIMATION THEORY | 1997年 / 89卷 / 03期

关键词：

D O I：

10.1006/jath.1996.3056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Thr Fourier interpolation polynomials of a periodic function with an isolated jump discontinuity at a node exhibit for growing order a Gibbs phenomenon. By a suitable definition of the Function value at the jump the over- and undershoots on one side may be minimized. (C) 1997 Academic Press.

引用

页码：308 / 320

页数：13

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