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Positivity of the weights of interpolatory quadrature formulae with Bernstein–Szegö abscissae

✍ Scribed by Sotirios E. Notaris


Publisher
Springer US
Year
2008
Tongue
English
Weight
329 KB
Volume
49
Category
Article
ISSN
1017-1398

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📜 SIMILAR VOLUMES


Interpolatory quadrature formulae with C
✍ Sotirios E. Notaris 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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