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.
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页码：111 / 125
页数：15
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