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Erratum: Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights

โœ Scribed by A. L. Levin; D. S. Lubinsky


Publisher
Springer
Year
1995
Tongue
English
Weight
49 KB
Volume
11
Category
Article
ISSN
0176-4276

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The Christoffel functions \(A_{n}(d \mu)\) associated with a general nonnegative measure \(\mu\) on \(\mathbb{R}^{d}\) are studied. The asymptotics of \(A_{n}(d \mu)\) are derived for \(\mu\) supported on \([-1,1]^{d}\). The estimates of \(A_{n}(d \mu)\) are used to study the summability of the mult

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โœ A.L. Levin; D.S. Lubinsky ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 765 KB

Let \(W_{x}(x):=\exp \left(-|x|^{x}\right), x \in \mathbb{R}, x>0\). For \(\alpha \leqslant 1\), we obtain upper and lower bounds for the Christoffel functions for the weight \(W_{x}^{2}\) over the whole MhaskarRahmanov-Saff interval, and deduce inequalities for spacing of zeros of orthogonal polyno