TY - JOUR
T1 - Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval
AU - Konovalov, V. N.
AU - Leviatan, D.
PY - 2002
Y1 - 2002
N2 - 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
AB - 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
UR - http://www.scopus.com/inward/record.url?scp=84867946702&partnerID=8YFLogxK
U2 - 10.1023/A:1021783316556
DO - 10.1023/A:1021783316556
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84867946702
SN - 0133-3852
VL - 28
SP - 251
EP - 278
JO - Analysis Mathematica
JF - Analysis Mathematica
IS - 4
ER -