Ratios of Norms for Polynomials and Connected n-width Problems

Details Ratios of Norms for Polynomials and Connected n-width Problems Ratios of Norms for Polynomials and Connected n-width Problems

2008-04-23

arxiv.org/abs/0804.3748v1

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.

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