Approximation of classes of periodic functions in several variables

被引：6

作者：

Romanyuk, AS ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Math Inst, UA-252143 Kiev, Ukraine

来源：

MATHEMATICAL NOTES | 2002年 / 71卷 / 1-2期

关键词：

orthogonal trigonometric approximation; Besov class of functions; multiple Fourier sum; staircase hyperbolic Fourier sum; Rudin-Shapiro polynomials;

D O I：

10.1023/A:1013982425195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We stud the approximation of the classes B-p(r),(theta) and W-p(r),(alpha) of periodic functions of several variables by multiple Fourier sums of fixed order constructed with regard to individual properties of functions from these classes. In a number of cases, such approximations allow us to achieve a better degree of approximation of the classes indicated above as compared to their approximation by staircase hyperbolic Fourier sums.

引用

页码：98 / 109

页数：12

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