Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval

被引：0

作者：

Konovalov V.N. ^{[1
]}

Leviatan D. ^{[2
]}

机构：

[1] International Mathematical Center, National Academy of Sciences of Ukraine

[2] School of Mathematical Sciences, Sackler Faculty OF Exact Sciences, Tel Aviv University

来源：

Analysis Mathematica | 2002年 / 28卷 / 4期

关键词：

Finite Interval; Linear Width; Kolmogorov Width;

D O I：

10.1023/A:1021783316556

中图分类号：

学科分类号：

摘要：

Let I be a finite interval, r ∈ N and p(t)=dist{t,∂I}, t∈I. Denote by Wrp,α, 0 < α < ∞, the class of functions x on I with the seminorm {double pipe};x(r)pα{double pipe}Lp ≤ 1. We obtain two-sided estimates of the Kolmogorov widths dn(Wrp,α)Lq and of the linear widths dn(Wrp,α)Lqlin © 2002 Kluwer Academic Publishers/Akadémiai Kiadó.

引用

页码：251 / 278

页数：27

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