RT Journal Article
T1 Orthogonal polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegö measure
A1 Cachafeiro, Alicia
A1 Marcellán Español, Francisco José
A1 Pérez, C.
AB In the present paper we study the orthogonal polynomials with respect to a measure which is the sum of a finite positive Borel measure on [0,2π] and a Bernstein–Szegö measure. We prove that the measure sum belongs to the Szegö class and we obtain several properties about the norms of the orthogonal polynomials, as well as, about the coefficients of the expression which relates the new orthogonal polynomials with the Bernstein–Szegö polynomials. When the Bernstein–Szegö measure corresponds to a polynomial of degree one, we give a nice explicit algebraic expression for the new orthogonal polynomials.
PB Springer
SN 1019-7168 (Print)
SN 1572-9044 (Online)
YR 2007
FD 2007-01
LK https://hdl.handle.net/10016/5923
UL https://hdl.handle.net/10016/5923
LA eng
NO 24 pages, no figures.-- MSC2000 codes: 33C47, 42C05.-- Dedicated to Professor Dr. Mariano Gasca with occasion of his 60th anniversary.
NO MR#: MR2350346 (2008m:33032)
NO Zbl#: Zbl 1109.33010
NO The research was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant number BFM2000-0015, as well as BFM2003-06335-C03-C02.
DS e-Archivo
RD 3 ago. 2024