Mathematics – Classical Analysis and ODEs
Scientific paper
2008-04-23
Complex Anal. Oper. Theory, 3(2), 501-524, 2009
Mathematics
Classical Analysis and ODEs
24 pages
Scientific paper
Let G be a bounded simply connected domain and E be a regular compact subset
of G with connected complement. We investigate the asymptotic behavior of the
Kolmogorov k-width, k=k(n), of the set of polynomials of degree at most n
having the supremum norm at most 1 on G restricted to E in the space of
continuous functions on E.
Prokhorov Alexander V.
Saff Edward B.
Yattselev Maxim
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