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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
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: |
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| 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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