Monotone Jacobi parameters and non-Szegö weights
نویسندگان
چکیده
We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for an ≡ 1, bn = −Cn−β (0 < β < 2 3 ), one has dμ(x) = w(x) dx on (−2, 2), and near x = 2, w(x) = e where Q(x) = βC 1 β Γ(32 )Γ( 1 β − 1 2 )(2 − x) 1 2 − 1 β Γ( 1 β + 1) (1 +O((2 − x)))
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 157 شماره
صفحات -
تاریخ انتشار 2009