n - Widths of Sobolev Spaces in L p
نویسندگان
چکیده
Let W~ r) = {f:fecr-J[O, l ] , f (rl) abs. cont., Ilftr)IIp < oo}, and set B~) = {f: f~ ~ ' ) , I[/~r)llp ~ 1}. We find the exact Kolmogorov, Gerfand, linear, and Bernstein n-widths of B~p r) in L p for all pE(l, oo). For the Kolmogorov n-width we show that for n _> r there exists an optimal subspace of splines of degree r 1 with n r fixed simple knots depending on p,
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تاریخ انتشار 2005