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arXiv · 0804.3748

Ratios of Norms for Polynomials and Connected n-width Problems

V. A. Prokhorov·E. B. Saff·M. Yattselev
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Abstract

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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V. A. Prokhorov, E. B. Saff, M. Yattselev. 2008-04-23. Ratios of Norms for Polynomials and Connected n-width Problems. https://arxiv.org/abs/0804.3748

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