Continuous symmetrized Sobolev inner products of order N (I)

Bueno Cachadiña, María Isabel; Marcellán Español, Francisco José; Sánchez Ruiz, Jorge

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Continuous symmetrized Sobolev inner products of order N (I)

Author(s): Bueno Cachadiña, María Isabel; Marcellán Español, Francisco José; Sánchez Ruiz, Jorge

Publisher: Elsevier

Issued date: 2005-06-01

Citation: Journal of Mathematical Analysis and Applications, 2005, vol. 306, n. 1, p. 83-96

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2004.11.052

Sponsor: The work of the authors has been partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grants BFM 2003-06335-C03-02 (M.I.B., F.M., J.S.R.) and BFM2001-3878-C02-01 (J.S.R.), NATO collaborative grant PST.CLG.979738 (M.I.B., F.M.), and the Junta de Andalucía research group FQM-0207 (J.S.R).

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1016/j.jmaa.2004.11.052

Keywords: Sobolev inner product , Orthogonal polynomials , Symmetrization process

URI: http://hdl.handle.net/10016/5946

Rights: © Elsevier

Abstract:

Given a symmetrized Sobolev inner product of order N, the corresponding sequence of monic orthogonal polynomials {Qn} satisfies that Q_2n(x)=Pn(x2), Q_2n+1(x)=xRn(x2) for certain sequences of monic polynomials {Pn} and {Rn}. In this paper, we deduce the integr [+]