Asymptotics of extremal polynomials off the unit circle

DOI10.1016/j.ajmsc.2011.08.004zbMath1242.33013OpenAlexW2032203448MaRDI QIDQ763043

Rabah Khaldi, Assia Guezane-Lakoud

Publication date: 8 March 2012

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2011.08.004

zbMATH Keywords

asymptotic behaviorextremal polynomialsSzegő class

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)

Cites Work

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• Asymptotics of orthogonal polynomials via the Koosis theorem
• Asymptotics for \(L_ p\) extremal polynomials on the unit circle
• On asymptotics of \(L_ p\) extremal polynomials on a complex curve (\(0<p<\infty\))
• Strong asymptotic behavior for extremal polynomials with respect to varying measures on the unit circle.
• Strong asymptotics for \(L_p\) extremal polynomials off a complex curve
• Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points

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