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 18 条

[11] Taikov LV, 1979, MATH NOTES+, V25, P217
[12] Tikhomirov V. M., 1976, Some questions in approximation theory
[13] Jackson-type inequalities and widths of function classes in L2
Vakarchuk, S. B.
[J]. MATHEMATICAL NOTES, 2006, 80 (1-2) : 11 - 18
[14] Vakarchuk S. B., 2001, MAT ZAMETKI, V70, P334
[15] Exact constants in Jackson-type inequalities and exact values of widths
Vakarchuk, SB
[J]. MATHEMATICAL NOTES, 2005, 78 (5-6) : 735 - 739
[16] VAKARCHUK SB, 2004, UKR MAT ZH, V56, P1458
[17] Vasil'ev S.N., 2002, THESIS CANDIDATE PHY
[18] VASILEV SN, 2002, DOKL ROSS AKAD NAUK, V385, P11

← 1 2 →