Continuous symmetrized Sobolev inner products of order N (II) Bueno, María Isabel Marcellán Español, Francisco Sánchez-Ruiz, Jorge Sobolev inner product Orthogonal polynomials Semiclassical linear functionals Recurrence relation Symmetrization process Given a symmetrized Sobolev inner product of order N, the corresponding sequence of monic orthogonal polynomials {Qn} satisfies Q2n(x)=Pn(x2), Q2n+1(x)=xRn(x2) for certain sequences of monic polynomials {Pn} and {Rn}. In this paper we consider the particular case when all the measures that define the symmetrized Sobolev inner product are equal, absolutely continuous and semiclassical. Under such restrictions, we give explicit algebraic relations between the sequences {Pn} and {Rn}, as well as higher-order recurrence relations that they satisfy. 2014-07-16T10:10:01Z 2014-07-16T10:10:01Z 2006 info:eu-repo/semantics/article Bueno, M.I.; Marcellán, F.; Sánchez-Ruiz, J. Continuous symmetrized Sobolev inner products of order N (II). Electronic Transactions on Numerical Analysis (ETNA), 24: 55-65 (2006). [http://hdl.handle.net/10481/32692] 1068-9613 http://hdl.handle.net/10481/32692 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Kent State University. Institute of Computational Mathematics