Orthogonal polynomials associated with related measures and Sobolev orthogonal polynomials

DOI10.1023/B:NUMA.0000005363.32764.d3zbMath1046.42015OpenAlexW2050697780MaRDI QIDQ1418836

A. Sri Ranga, Andrea C. Berti, Cleonice F. Bracciali

Publication date: 14 January 2004

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:numa.0000005363.32764.d3

zbMATH Keywords

Sobolev orthogonal polynomialsChristoffel formulacoherent pair of measures

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 (13)

Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind ⋮ Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures ⋮ Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials ⋮ On Sobolev orthogonal polynomials ⋮ RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS ⋮ Decomposition of a recursive family of polynomials ⋮ Monotonicity of the zeros of orthogonal polynomials through related measures ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ Zeros of Gegenbauer-Sobolev orthogonal polynomials: beyond coherent pairs ⋮ Parameters of a positive chain sequence associated with orthogonal polynomials ⋮ An extension of the coherent pair of measures of the second kind on the unit circle

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