B. Beckermann

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math.CA2003

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

B. Beckermann, A. Martinez-Finkelshtein, E. A. Rakhmanov +1

We give an asymptotic upper bound as $n \to \infty$ for the entropy integral $E_{n} (w) = - \int p_{n}^{2} (x) lo g (p_{n}^{2} (x)) w (x) d x,$ where $p_{n}$ is the $n$ th degree orthonormal polynomial w…