Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case

DOI10.1006/jath.1998.3336zbMath0942.42015OpenAlexW2013486162MaRDI QIDQ1806136

Andrei Martínez-Finkelshtein, Manuel Alfaro, M. Luisa Rezola

Publication date: 20 December 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3336

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialscoherent pairs 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 (10)

Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights ⋮ Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures ⋮ A differential equation for varying Krall-type orthogonal polynomials ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ Asymptotics of the \(L^2\) norm of derivatives of OPUC ⋮ Sobolev orthogonal polynomials: Balance and asymptotics ⋮ Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials ⋮ Asymptotic properties of Sobolev orthogonal polynomials

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