Fourier Expansions of Piecewise Smooth Functions

被引：1

作者：

Colzani, Leonardo ^{[1
]}

De Michele, Leonede ^{[1
]}

Roux, Delfina ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat, I-20125 Milan, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 02期

关键词：

Fourier series; Gibbs phenomenon; Bernoulli polynomials;

D O I：

10.1007/s00009-011-0137-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Although Fourier series or integrals of piecewise smooth functions may be slowly convergent, sometimes it is possible to accelerate their speed of convergence by adding and subtracting suitable combination of known functions.

引用

页码：253 / 266

页数：14