The best M-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space Lq

被引：0

作者：

Shvai K.V. ^{[1
]}

机构：

[1] Institute of Mathematics of the NAS of Ukraine, Kiev

来源：

Journal of Mathematical Sciences | 2017年 / 222卷 / 6期

关键词：

Bernoulli kernel; de la Vallée–Poissin kernel; Fourier series; stepwise hyperbolic cross; The best trigonometric approximation;

D O I：

10.1007/s10958-017-3329-0

中图分类号：

学科分类号：

摘要：

The order estimates of the best M-term trigonometric approximations of functions Dβψ and the classes of (ψ , β)-differentiable periodic multivariate functions in the space Lq, 2 ≤ q < ∞ are obtained. It is shown that, under certain conditions imposed on the parameter q; the best M-term trigonometric approximations eM(Lβ,1ψ)q have better order than the best orthogonal trigonometric approximations e1M(Lβ,1ψ)q. © 2017, Springer Science+Business Media New York.

引用

页码：750 / 761

页数：11

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