Denisov's theorem on recurrence coefficients

DOI10.1016/j.jat.2004.03.006zbMath1061.42014OpenAlexW1997819815MaRDI QIDQ596830

Vilmos Totik, Paul G. Nevai

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.03.006

zbMATH Keywords

orthogonal polynomialsmeasures on the unit circleextremal propertyVerblunsky coefficients

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

Otto Blumenthal (1876--1944) in retrospect ⋮ Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures ⋮ Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials ⋮ Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II ⋮ Perturbations of orthogonal polynomials with periodic recursion coefficients ⋮ Mixed type multiple orthogonal polynomials for two Nikishin systems ⋮ Some asymptotic properties for orthogonal polynomials with respect to varying measures

Cites Work

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• Weakly convergent sequences of functions and orthogonal polynomials
• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE CIRCLE WITH WEIGHTS NOT SATISFYING SZEGÖ'S CONDITION
• Strong and Weak Convergence of Orthogonal Polynomials
• Orthogonal Polynomials with Ratio Asymptotics
• Orthogonal polynomials
• On Rakhmanov’s theorem for Jacobi matrices

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