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

[31] THE BEST BILINEAR APPROXIMATIONS OF PERIODIC-FUNCTIONS OF SEVERAL-VARIABLES
TEMLIAKOV, VN
DOKLADY AKADEMII NAUK SSSR, 1986, 286 (02): : 301 - 304
[32] Approximation of the classes Bp,θΩ of periodic functions of many variables in uniform metric
Stasyuk S.A.
Ukrainian Mathematical Journal, 2002, 54 (11) : 1885 - 1896
[33] Diameters and best approximation of the classes Bpr of periodic functions of several variables
Romanyuk, A. S.
ANALYSIS MATHEMATICA, 2011, 37 (03) : 181 - 213
[34] BEST BILINEAR APPROXIMATIONS OF THE CLASSES Sp,θΩB OF PERIODIC FUNCTIONS OF MANY VARIABLES
Solich, K. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2011, 63 (06) : 940 - 961
[35] CLASSES OF FUNCTIONS WITH EXPLICIT BEST UNIFORM APPROXIMATIONS
OLLIN, HZ
GERST, I
JOURNAL OF APPROXIMATION THEORY, 1982, 34 (03) : 264 - 276
[36] Estimates of the best M-Term trigonometric approximations of the classes LβpΨ of periodic functions of many variables in the space Lq
Konsevich N.M.
Ukrainian Mathematical Journal, 2000, 52 (7) : 1029 - 1039
[37] SOME EXACT INEQUALITIES BETWEEN UNIFORM BEST APPROXIMATIONS OF PERIODIC FUNCTIONS
ZHUK, VV
DOKLADY AKADEMII NAUK SSSR, 1974, 214 (06): : 1245 - 1246
[38] SOME EXACT INEQUALITIES BETWEEN UNIFORM BEST APPROXIMATIONS OF PERIODIC FUNCTIONS
ZHUK, VV
DOKLADY AKADEMII NAUK SSSR, 1971, 201 (02): : 263 - &
[39] Best M-term trigonometric approximations of the classes B p,θΩ of functions of many variables
Stasyuk S.A.
Ukrainian Mathematical Journal, 2002, 54 (3) : 470 - 486
[40] 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

← 1 2 3 4 5 →