On estimates of approximation characteristics of the Besov classes of periodic functions of many variables

被引：2

作者：

A. S. Romanyuk

机构：

来源：

Ukrainian Mathematical Journal | 1997年 / 49卷 / 9期

关键词：

Periodic Function; Lower Estimate; Trigonometric Polynomial; Approximation Characteristic; Bilinear Approximation;

D O I：

10.1007/BF02487348

中图分类号：

学科分类号：

摘要：

We obtain order estimates for some approximate characteristics of the Besov classes Bp,ϑr of periodic functions of many variables.

引用

页码：1409 / 1422

页数：13

共 50 条

[31] Estimation of Some Approximating Characteristics of the Classes of Periodic Functions of One and Many Variables
Romanyuk, A. S.
Romanyuk, V. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2020, 71 (08) : 1257 - 1272
[32] Trigonometric widths of classes of periodic functions of many variables
Derev'yanko, N. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (08) : 1185 - 1198
[33] Trigonometric widths of classes of periodic functions of many variables
N. V. Derev’yanko
Ukrainian Mathematical Journal, 2013, 64 : 1185 - 1198
[34] Nonlinear approximations of classes of periodic functions of many variables
Bazarkhanov, D. B.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 (01) : 2 - 31
[35] Nonlinear approximations of classes of periodic functions of many variables
D. B. Bazarkhanov
Proceedings of the Steklov Institute of Mathematics, 2014, 284 : 2 - 31
[36] Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol'skii-Besov Classes of Periodic Functions of Many Variables
Romanyuk, A. S.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (11) : 1739 - 1757
[37] Estimates of the approximation characteristics of the classes B p,θ Ω of periodic functions of several variables with given majorant of mixed moduli of continuity
Konograi, A. F.
MATHEMATICAL NOTES, 2014, 95 (5-6) : 656 - 669
[38] EXACT ESTIMATES OF FOURIER COEFFICIENTS OF THE CLASSES OF CONTINUOUS AND DIFFERENTIABLE PERIODIC-FUNCTIONS OF MANY VARIABLES
STEPANETS, AI
DOKLADY AKADEMII NAUK SSSR, 1981, 261 (01): : 34 - 38
[39] Estimates of the Fourier widths of classes of Nikol’skii—Besov and Lizorkin—Triebel types of periodic functions of several variables
D. B. Bazarkhanov
Mathematical Notes, 2010, 87 : 281 - 284
[40] APPROXIMATION OF PERIODIC FUNCTIONS OF MANY VARIABLES .1.
NEVAI, GP
ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1973, 24 (3-4): : 407 - 416

← 1 2 3 4 5 →