On a rational linear approximation of Fourier series for smooth functions

被引：16

作者：

Nersessian, A ^{[1
]}

Poghosyan, A ^{[1
]}

机构：

[1] Natl Acad Sci Armenia, Inst Math, Yerevan 375019, Armenia

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2006年 / 26卷 / 01期

关键词：

Fourier series; Pade approximation; rational approximation; L-2-convergence;

D O I：

10.1007/s10915-004-4809-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Fourier series of a smooth function on a compact interval usually has slow convergence due to the Gibbs phenomena. A class of Fourier-Pade approximations is introduced and studied for performing a boundary correction. Additional acceleration is achieved by applying Fourier-Bernoulli scheme.

引用

页码：111 / 125

页数：15

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