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Chebyshev constants for the unit circle

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Ambrus, G., Ball, Keith M. and Erdelyi, T. (2013) Chebyshev constants for the unit circle. Bulletin of the London Mathematical Society, Volume 45 (Number 2). pp. 236-248. doi:10.1112/blms/bds082

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Official URL: http://dx.doi.org/10.1112/blms/bds082

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Abstract

It is proven that for any system of n points z1, …, zn on the (complex) unit circle, there exists another point z of norm 1, such that
Formula
Two proofs are presented: one uses a characterization of equioscillating rational functions, while the other is based on Bernstein's inequality.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Bulletin of the London Mathematical Society
Publisher: Cambridge University Press
ISSN: 0024-6093
Official Date: 2013
Dates:
DateEvent
2013Modified
Volume: Volume 45
Number: Number 2
Page Range: pp. 236-248
DOI: 10.1112/blms/bds082
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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