Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space L 2((a, b) x (c, d); p(x)q(y))

被引：5

作者：

Abilov, V. A. ^{[1
]}

Kerimov, M. K. ^{[2
]}

机构：

[1] Dagestan State Univ, Makhachkala 367025, Russia

[2] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

orthogonal polynomials; double Fourier series; generalized modulus of continuity; Kolmogorov N-width; convergence rate estimate for double Fourier series;

D O I：

10.1134/S0965542509080028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sharp estimates are obtained for the convergence rate of double Fourier series in terms of general orthogonal polynomials in some classes of functions and for the Kolmogorov N-widths of these classes. These results find applications in numerical analysis.

引用

页码：1298 / 1302

页数：5

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