Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class.

Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class.

We give an asymptotic upper bound as $n\to\infty$ for the entropy integral $$E_n(w)= -\int p_n^2(x)\log (p_n^2(x))w(x)dx,$$ where $p_n$ is the $n$th degree orthonormal polynomial with respect to a weight $w(x)$ on $[-1,1]$ which belongs to the Szeg\H{o} class. We also study two functionals closely r...

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Bibliografiske detaljer
Main Authors:	Beckermann, B., Martínez-Finkelshtein, Andrei, Rakhmanov, Evgenii A., Wielonsky, F.
Format:	info:eu-repo/semantics/article
Sprog:	English
Udgivet:	2012
Fag:	Análisis asintótico Polinomios ortogonales Variables aleatorias
Online adgang:	http://hdl.handle.net/10835/1640

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