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

DOI10.1016/j.cam.2012.07.006zbMath1258.42024OpenAlexW1556786766MaRDI QIDQ455828

M. N. De Jesus, J. Petronilho

Publication date: 22 October 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.07.006

zbMATH Keywords

algorithmsorthogonal polynomialslinear functionalscoherent pairs of measuresSobolev orthogonal polynomials, semiclassical orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (9)

Basic theory of finite-type relations between orthogonal polynomial sequences ⋮ A matrix approach for the semiclassical and coherent orthogonal polynomials ⋮ (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials ⋮ On Sobolev orthogonal polynomials ⋮ \((1,1)\)-coherent pairs on the unit circle ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ On another extension of coherent pairs of measures ⋮ On linearly related sequences of difference derivatives of discrete orthogonal polynomials

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