Approximations of the classes MBp,θ rof periodic functions of several variables by polynomials according to the Haar system

被引：0

作者：

Stasyuk S.A. ^{[1
]}

机构：

[1] Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkovskaya Str., Kiev

来源：

Journal of Mathematical Sciences | 2015年 / 210卷 / 1期

关键词：

Approximation of functions of several variables; best m-term approximation; Haar system; step-hyperbolic cross;

D O I：

10.1007/s10958-015-2549-4

中图分类号：

学科分类号：

摘要：

Some problems of approximation of the classes MBp,θ r of periodic functions of several variables by polynomials constructed by the Haar system are investigated. For the functions of these classes, the exact-order estimates of the best m-term approximation by polynomials according to the Haar system and the upper bounds of approximations by step-hyperbolic Fourier–Haar sums are obtained. © 2015, Springer Science+Business Media New York.

引用

页码：76 / 85

页数：9

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