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http://hdl.handle.net/2445/181476
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DC Field | Value | Language |
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dc.contributor.author | Bos, Leonard Peter | - |
dc.contributor.author | Levenberg, Norm | - |
dc.contributor.author | Ortega Cerdà, Joaquim | - |
dc.date.accessioned | 2021-11-25T10:46:23Z | - |
dc.date.available | 2021-11-25T10:46:23Z | - |
dc.date.issued | 2020-11-02 | - |
dc.identifier.issn | 0176-4276 | - |
dc.identifier.uri | http://hdl.handle.net/2445/181476 | - |
dc.description.abstract | We show that the problem of finding the measure supported on a compact set $K\subset \C$ such that the variance of the least squares predictor by polynomials of degree at most $n$ at a point $z_0\in\C^d\backslash K$ is a minimum, is equivalent to the problem of finding the polynomial of degree at most $n,$ bounded by 1 on $K,$ with extremal growth at $z_0.$ We use this to find the polynomials of extremal growth for $[-1,1]\subset \C$ at a purely imaginary point. The related problem on the extremal growth of real polynomials was studied by Erd\H{o}s (Bull Am Math Soc 53:1169-1176, 1947). | - |
dc.format.extent | 23 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Science + Business Media | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s00365-020-09522-1 | - |
dc.relation.ispartof | Constructive Approximation, 2020, vol. 54, num. 3, p. 431-453 | - |
dc.relation.uri | https://doi.org/10.1007/s00365-020-09522-1 | - |
dc.rights | (c) Springer Science + Business Media, 2020 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Desigualtats (Matemàtica) | - |
dc.subject.classification | Teoria de l'aproximació | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.other | Inequalities (Mathematics) | - |
dc.subject.other | Approximation theory | - |
dc.subject.other | Functions of complex variables | - |
dc.title | Optimal Polynomial Prediction Measures and Extremal Polynomial Growth | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 702847 | - |
dc.date.updated | 2021-11-25T10:46:23Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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702847.pdf | 338.98 kB | Adobe PDF | View/Open |
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