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

共 50 条

[31] Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
A. S. Serdyuk
T. A. Stepanyuk
Ukrainian Mathematical Journal, 2015, 67 : 1038 - 1061
[32] ORDER ESTIMATES FOR THE BEST ORTHOGONAL TRIGONOMETRIC APPROXIMATIONS OF THE CLASSES OF CONVOLUTIONS OF PERIODIC FUNCTIONS OF LOW SMOOTHNESS
Serdyuk, A. S.
Stepanyuk, T. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2015, 67 (07) : 1038 - 1061
[33] Multiple Haar Basis and m-term Approximations for Functions from the Besov Classes. I
V. S. Romanyuk
Ukrainian Mathematical Journal, 2016, 68 : 625 - 637
[34] Multiple Haar Basis and m-term Approximations for Functions from the Besov Classes. I
Romanyuk, V. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 68 (04) : 625 - 637
[35] Multiple Haar Basis and m-Term Approximations of Functions from the Besov Classes. II
V. S. Romanyuk
Ukrainian Mathematical Journal, 2016, 68 : 928 - 939
[36] Multiple Haar Basis and m-Term Approximations of Functions from the Besov Classes. II
Romanyuk, V. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 68 (06) : 928 - 939
[37] Best m-term One-sided Trigonometric Approximation of Some Function Classes Defined by a Kind of Multipliers
Ren Suo LI School of Mathematical Sciences
Acta Mathematica Sinica(English Series), 2010, 26 (05) : 975 - 984
[38] Best m-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers
Ren Suo Li
Yong Ping Liu
Acta Mathematica Sinica, English Series, 2010, 26 : 975 - 984
[39] Best m-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers
Li, Ren Suo
Liu, Yong Ping
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (05) : 975 - 984
[40] Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
Vlasyk H.M.
Shkapa V.V.
Zamrii I.V.
Journal of Mathematical Sciences, 2020, 246 (1) : 110 - 119

← 1 2 3 4 5 →