How poles of orthogonal rational functions affect their Christoffel functions

DOI10.1016/J.JAT.2012.05.007zbMath1254.42033OpenAlexW1975330442MaRDI QIDQ714881

Karl Deckers, Doron S. Lubinsky

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.05.007

zbMATH Keywords

orthogonal rational functionsChristoffel functions

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 (1)

Biorthogonal rational functions of $R_{II}$-type

Cites Work

• Unnamed Item
• Multipoint Schur algorithm and orthogonal rational functions. I: Convergence properties
• Szegö's extremum problem on the unit circle
• Asymptotics for Christoffel functions for general measures on the real line
• Orthogonal rational functions and tridiagonal matrices
• CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS

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