Sobolev orthogonal polynomials and (M, N)-coherent pairs of measures

Jesus, Márcio; Petronilho, José

http://hdl.handle.net/10400.19/2415

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Authors

Jesus, Márcio

Petronilho, José

Abstract(s)

We introduce the notion of (M, N) −coherent pair of measures as a generalization of the concept of coherent pair of measures introduced by Iserles et al. [A. Iserles, P.E.Koch,S.P.Nørsett,J.M.Sanz-Serna,Onpolynomialsorthogonalwithrespecttocertain Sobolev inner products, J. Approx. Theory 65(2) (1991) 151–175], and subsequently Generalized by several authors. A pair of measures (…)

Keywords

Orthogonal polynomials Sobolev orthogonal polynomial Semiclassical orthogonal polynomials Coherent pairs of measures Moment linear functionals Algorithms