RT Journal Article T1 A study of the generalized Christoffel functions with applications A1 Berriochoa, Elías A1 Cachafeiro, Alicia A1 Marcellán Español, Francisco José AB In this paper we solve the problem of minimizing the norm of polynomials of degreeless 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. PB International Press SN 1073-2772 YR 1999 FD 1999-09 LK https://hdl.handle.net/10016/6160 UL https://hdl.handle.net/10016/6160 LA eng NO 10 pages, no figures.-- MSC2000 code: 42C05. NO MR#: MR1803313 (2001m:42044) NO Zbl#: Zbl 0965.42015 NO The research of the first author (E.B.) was supported by Dirección General de EnseñanzaSuperior (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 deEnseñanza Superior (DGES) of Spain PB96-0120-C03-01. DS e-Archivo RD 1 may. 2024