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Interpolatory inner product quadrature formulas

โœ Scribed by J. D. Gribble


Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
395 KB
Volume
20
Category
Article
ISSN
0006-3835

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โœ W. Robert Boland; C. S. Duris ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 892 KB
New interpolatory quadrature formulae wi
โœ Sotirios E. Notaris ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 747 KB

We study interpolatory quadrature formulae, relative to the Legendre weight function on [-1, 1], having as nodes the zeros of any one of the four Chebyshev polynomials of degree n plus one of the points 1 or -1. In particular, we derive explicit formulae for the weights and examine their positivity,