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Chebyshev-type quadrature for Jacobi weight functions

✍ Scribed by Arno Kuijlaars

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 453 KB
Volume: 57
Category: Article
ISSN: 0377-0427
DOI: 10.1016/0377-0427(93)e0243-f

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Denote by \(\eta_{i}=\cos (i \pi / n), i=0, \ldots, n\) the extreme points of the Chebyshev polynomial \(T_{n}(x)=\cos (n \operatorname{arc} \cos x)\). Let \(\pi_{n}\) be the set of real algebraic polynomials of degree not exceeding \(n\), and let \(B_{n}\) be the unit ball in the space \(\pi_{n}\)