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Error estimates for interpolatory quadrature formulae

✍ Scribed by H. Brass; G. Schmeisser

Publisher: Springer-Verlag
Year: 1981
Tongue: English
Weight: 620 KB
Volume: 37
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf01400316

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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,