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

V. N. Konovalov, D. Leviatan

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish
Pages (from-to)251-278
Number of pages28
JournalAnalysis Mathematica
Volume28
Issue number4
DOIs
StatePublished - 2002

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