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Positivity of the Weights of Interpolatory Quadrature Formulae with Jacobi Abscissae

✍ Scribed by Sotirios E. Notaris


Book ID
110412524
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
127 KB
Volume
42
Category
Article
ISSN
0006-3835

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Interpolatory quadrature formulae with C
✍ Sotirios E. Notaris πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 755 KB

We consider interpolatory quadrature formulae, relative to the Legendre weight function on [-1, 1], having as nodes the zeros of the nth-degree Chebyshev polynomial of the third or fourth kind. Szeg5 has shown that the weights of these formulae are all positive. We derive explicit formulae for the w