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A study of the generalized Christoffel functions with applications

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URI: http://hdl.handle.net/10016/6160
ISSN: 1073-2772
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study_marcellan_maa_1999_ps.pdf (402.08 KB)
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1999-09
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International Press
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Abstract
In this paper we solve the problem of minimizing the norm of polynomials of degree less than or equal to n, verifying linear restrictions. This case extends in a natural way a problem studied by Grenander and Rosenblatt. We obtain algebraic properties of the solution which enables us to compute it and we present some applications.
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10 pages, no figures.-- MSC2000 code: 42C05.
MR#: MR1803313 (2001m:42044)
Zbl#: Zbl 0965.42015
Keywords
Orthogonal polynomials, Christoffel functions
Bibliographic citation
Methods and Applications of Analysis, 1999, vol. 6, n. 3, p. 67-76
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