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Gauss–Turán Quadrature Formulas: Asymptotics of Weights

✍ Scribed by Peherstorfer, Franz

Book ID
118184654
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
276 KB
Volume
47
Category
Article
ISSN
0036-1429

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As we know, the Chebyshev weight w(x)=(1&x 2 ) &1Â2 has the property: For each fixed n, the solutions of the extremal problem dx for every even m are the same. This paper proves that the Chebyshev weight is the only weight having this property (up to a linear transformation).