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Existence of quadrature formulae with almost equal weights

Author: K. Salkauskas
Journal: Math. Comp. 25 (1971), 105-109
MSC: Primary 65.55
MathSciNet review: 0290570
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Abstract: The condition that an interpolatory quadrature formula on n nodes have degree of precision at least n and positive weights defines a homeomorphism between the sets of admissible nodes and weights of such formulae for each n. This is used to prove that the only formulae having "almost equal" weights are the Chebyshev formulae.

References [Enhancements On Off] (What's this?)

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Keywords: Chebyshev quadrature, almost equally weighted quadrature
Article copyright: © Copyright 1971 American Mathematical Society

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