A study of the generalized Christoffel functions with applications

Berriochoa, Elías; Cachafeiro, Alicia; Marcellán Español, Francisco José

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A study of the generalized Christoffel functions with applications

Author(s): Berriochoa, Elías; Cachafeiro, Alicia; Marcellán Español, Francisco José

Publisher: International Press

Issued date: 1999-09

Citation: Methods and Applications of Analysis, 1999, vol. 6, n. 3, p. 67-76

ISSN: 1073-2772

Sponsor: The research of the first author (E.B.) was supported by Dirección General de Enseñanza Superior (DGES) of Spain PB96-0344. The research of the second author (A.C.) was supported by Dirección General de Enseñanza Superior (DGES) of Spain PB96-0344. The research of the third author (F.M.) was supported by Dirección General de Enseñanza Superior (DGES) of Spain PB96-0120-C03-01.

Review: PeerReviewed

Publisher version: http://www.intlpress.com/MAA/p/1999/6_3/MAA-6-3-067-076.pdf

Keywords: Orthogonal polynomials , Christoffel functions

URI: http://hdl.handle.net/10016/6160

Rights: © International Press

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 [+]