Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric

被引：6

作者：

Romanyuk, A. S. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

MATHEMATICAL NOTES | 2007年 / 82卷 / 1-2期

关键词：

best trigonometric approximation; the classes B-p; theta(r) and W-p; alpha(r) of periodic functions; Minkowski's inequality; Holder's inequality; Vallee-Poussin kernel;

D O I：

10.1134/S0001434607070279

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study best M-term trigonometric approximations and best orthogonal trigonometric approximations for the classes B-p,theta(r) and W-p,alpha(r) of periodic functions of several variables in the uniform metric.

引用

页码：216 / 228

页数：13

共 50 条

[21] Best approximations and kolmogorov and trigonometric widths of the classes B p,θ Ω of periodic functions of many variables
Stasyuk S.A.
Ukrainian Mathematical Journal, 2004, 56 (11) : 1849 - 1863
[22] BEST M-TERM TRIGONOMETRIC APPROXIMATIONS OF THE CLASSES Bp,θΩ OF PERIODIC FUNCTIONS OF MANY VARIABLES
Voitenko, S. P.
UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (09) : 1404 - 1416
[23] BEST M-TERM ORTHOGONAL TRIGONOMETRIC APPROXIMATIONS OF THE CLASSES Bp,θΩ OF PERIODIC FUNCTIONS OF MANY VARIABLES
Stasyuk, S. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (05) : 744 - 757
[24] APPROXIMATION OF PERIODIC-FUNCTIONS OF SEVERAL-VARIABLES BY TRIGONOMETRIC POLYNOMIALS, AND WIDTHS OF SOME CLASSES OF FUNCTIONS
TEMLYAKOV, VN
MATHEMATICS OF THE USSR-IZVESTIYA, 1985, 49 (05): : 285 - 322
[25] Approximability of the classes Bp,θr of periodic functions of several variables by linear methods and best approximations
Romanyuk, AS
SBORNIK MATHEMATICS, 2004, 195 (1-2) : 237 - 261
[26] Best orthogonal trigonometric approximations of classes of functions of many variables LΨβ,p
Konsevich N.M.
Ukrainian Mathematical Journal, 2001, 53 (1) : 26 - 34
[27] Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
Serdyuk, A. S.
Stepanyuk, T. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (12) : 1862 - 1882
[28] Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
A. S. Serdyuk
T. A. Stepanyuk
Ukrainian Mathematical Journal, 2015, 66 : 1862 - 1882
[29] BEST M-TERM TRIGONOMETRIC APPROXIMATIONS OF THE CLASSES Bp,θΩ OF PERIODIC FUNCTIONS OF MANY VARIABLES IN THE SPACE Lq
Konohrai, A. F.
Stasyuk, S. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (09) : 1396 - 1417
[30] Best approximation of periodic functions of several variables from the classes
Stasyuk, S. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2012, 64 (01) : 156 - 161

← 1 2 3 4 5 →