Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	V. N. Konovalov D. Leviatan

Affiliation:	(1) International Mathematical Center, National Academy of Sciences of Ukraine, Kyiv, 01601, Ukraine;(2) School of Mathematical Sciences, Sackler Faculty OF Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

Abstract:	Let I be a finite interval, rN and p(t)=dist{t,I}, tI. Denote by W^r_p_,, 0<<, the class of functions x on I with the seminorm x^(r)p_Lp1. We obtain two-sided estimates of the Kolmogorov widths d_n(W^r_p,)_Lq and of the linear widths d_n(W^r_p,)_Lq^lin

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