Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in Lq(ℝd)

被引：0

作者：

Wang H.P. ^{[1
]}

机构：

[1] Department of Mathematics, Capital Normal University, Beijing

来源：

Acta Mathematica Sinica | 2001年 / 17卷 / 2期

关键词：

Average σ-K width; Sobolev-Wiener classes with mixed smoothness; Step hyperbolic crosses;

D O I：

10.1007/s101149900009

中图分类号：

学科分类号：

摘要：

In this paper, the average σ-K width of Sobolev-Wiener classes SrpqW with mixed smoothness in Lq(ℝd) is studied for 1 < q < p < ∞, and the weak asymptotical behavior of these quantities is obtained.

引用

页码：305 / 312

页数：7

共 36 条

[1] Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in Lq(R~d)
He Ping WANG Department of Mathematics
Acta Mathematica Sinica,English Series, 2001, 17 (02) : 305 - 312
[2] Average widths of Sobolev-Wiener classes with mixed smoothness in Lq(Rd)
Wang, HP
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2001, 17 (02): : 305 - 312
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[8] AVERAGE o--K WIDTHS OF SOME GENERALIZED SOBOLEV--WIENER CLASSES
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[9] N–Widths and Average Widths of Besov Classes in Sobolev Spaces
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[10] AVERAGE WIDTHS OF SOBOLEV CLASSES ON R(N)
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