Jesus, MárcioPetronilho, José2014-12-022014-12-022013http://hdl.handle.net/10400.19/2415We 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 (…)engOrthogonal polynomialsSobolev orthogonal polynomialSemiclassical orthogonal polynomialsCoherent pairs of measuresMoment linear functionalsAlgorithmsSobolev orthogonal polynomials and (M, N)-coherent pairs of measuresjournal article