Ratios of Norms for Polynomials and Connected n-width Problems
Classical Analysis and ODEs
2009-06-04 v1
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.
Keywords
Cite
@article{arxiv.0804.3748,
title = {Ratios of Norms for Polynomials and Connected n-width Problems},
author = {V. A. Prokhorov and E. B. Saff and M. Yattselev},
journal= {arXiv preprint arXiv:0804.3748},
year = {2009}
}
Comments
24 pages