Widths of certain classes of periodic functions in L2

被引：2

作者：

Shabozov, Mirgand Shabozovich ^{[2
]}

Yusupov, Gulzorkhon Amirshoevich ^{[1
]}

机构：

[1] Tajik Natl Univ, Dushanbe 734055, Tajikistan

[2] Acad Sci Republ Tajikistan, Inst Math, Dushanbe 734063, Tajikistan

来源：

JOURNAL OF APPROXIMATION THEORY | 2012年 / 164卷 / 07期

关键词：

D O I：

10.1016/j.jat.2012.03.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the exact values of n-widths of some classes of periodic differentiable functions in the space L-2[0, 2 pi], satisfying the condition (integral(h)(0) omega(p)(m) (integral((r)); t) sin(gamma) beta/h tdt)(1/p) <= 1, where m, n, r is an element of N, 1/r < p <= 2,0 <= gamma <= rp - 1.0 < beta <= pi, 0 < h <= pi/n. Some further generalizations are included. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：869 / 878

页数：10

共 50 条

[31] Estimates for widths of classes of periodic multivariable functions
D. B. Bazarkhanov
[J]. Doklady Mathematics, 2011, 83 : 90 - 92
[32] Best polynomial approximations and the widths of function classes in L2
Shabozov, M. Sh.
Tukhliev, K.
[J]. MATHEMATICAL NOTES, 2013, 94 (5-6) : 930 - 937
[33] GELFAND WIDTHS OF CERTAIN CLASSES OF ANALYTIC-FUNCTIONS
PARFENOV, OG
[J]. RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1995, 82 (01) : 223 - 229
[34] On the best approximation of periodic functions by trigonometric polynomials and the exact values of widths of function classes in L 2
Shabozov, M. Sh.
Vakarchuk, S. B.
[J]. ANALYSIS MATHEMATICA, 2012, 38 (02) : 147 - 159
[35] Jackson-type inequalities and widths of function classes in L2
Vakarchuk, S. B.
[J]. MATHEMATICAL NOTES, 2006, 80 (1-2) : 11 - 18
[36] Jackson-type inequalities and widths of function classes in L2
S. B. Vakarchuk
[J]. Mathematical Notes, 2006, 80 : 11 - 18
[37] n-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS
陈迪荣
[J]. Science China Mathematics, 1992, (01) : 42 - 54
[38] n-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS
陈迪荣
[J]. Science in China,SerA., 1992, Ser.A.1992 (01) : 42 - 54
[39] Trigonometric widths of classes of periodic functions of many variables
Derev'yanko, N. V.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (08) : 1185 - 1198
[40] Widths and best approximations for classes of convolutions of periodic functions
Serdyuk A.S.
[J]. Ukrainian Mathematical Journal, 1999, 51 (5) : 748 - 763

← 1 2 3 4 5 →