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.
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页码：76 / 85
页数：9
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