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Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$

✍ Scribed by Nevai, Paul


Book ID
118199884
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
588 KB
Volume
15
Category
Article
ISSN
0036-1410

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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