On exact values of quasiwidths for some classes of differentiable periodic functions of two variables

被引：1

作者：

Shabozov, M. Sh. ^{[1
]}

Akobirshoev, M. O. ^{[1
]}

机构：

[1] Acad Sci Tajikistan, Inst Math, Dushanbe, Tajikistan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 06期

关键词：

Hilbert Space; Functional Classis; Extremal Function; Linear Normed Space; Generalize Polynomial;

D O I：

10.1007/s11253-009-0251-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the exact values of Kolmogorov and linear quasiwidths for some classes of differentiable periodic functions of two variables in the Hilbert space L (2)(Q).

引用

页码：1013 / 1024

页数：12

共 50 条

[1] On exact values of quasiwidths for some classes of differentiable periodic functions of two variables
M. Sh. Shabozov
M. O. Akobirshoev
Ukrainian Mathematical Journal, 2009, 61 : 1013 - 1024
[2] Exact estimates of quasiwidths of some classes of differentiable periodic functions of two variables
Shabozov, M. Sh.
Akobirshoev, M.
ANALYSIS MATHEMATICA, 2009, 35 (01) : 61 - 72
[3] Quasi-widths for some classes of differentiable periodic functions of two variables
Shabozov, MS
Akobirshoev, M
DOKLADY MATHEMATICS, 2005, 72 (02) : 732 - 736
[4] On the exact values of the best approximations of classes of differentiable periodic functions by splines
Babenko, V. F.
Parfinovich, N. V.
MATHEMATICAL NOTES, 2010, 87 (5-6) : 623 - 635
[5] On the exact values of the best approximations of classes of differentiable periodic functions by splines
V. F. Babenko
N. V. Parfinovich
Mathematical Notes, 2010, 87 : 623 - 635
[6] Some Properties of Classes of Infinitely Differentiable Functions of Two Variables,
文志荧
Chinese Annals of Mathematics, 1983, (01) : 130 - 130
[7] Exact values of relative widths of classes of differentiable functions
Subbotin, YN
Telyakovskii, SA
MATHEMATICAL NOTES, 1999, 65 (5-6) : 731 - 738
[8] 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
[9] Exact values of widths of certain classes of periodic differentiable functions in the space L 2[0, 2π]
Shabozov, M. Sh.
Palavonov, K. K.
ANALYSIS MATHEMATICA, 2015, 41 (1-2) : 103 - 115
[10] BEST QUADRATURE FORMULA FOR SOME CLASSES OF PERIODIC DIFFERENTIABLE FUNCTIONS
ZENSYKBAEV, AA
MATHEMATICS OF THE USSR-IZVESTIYA, 1977, 11 (05): : 1055 - 1071

← 1 2 3 4 5 →