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New quadrature rules for Bernstein measures on the interval [-1,1]

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URI: http://hdl.handle.net/10016/5912
ISSN: 1068-9613
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new_marcellan_etna_2008.pdf (178.02 KB)
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2008-10-16
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Kent State University
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Abstract
In the present paper, we obtain quadrature rules for Bernstein measures on [-1, 1], having a fixed number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients.
Description
13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.
MR#: MR2480082
Zbl#: Zbl pre05602092
Keywords
Quadrature rules, Orthogonal polynomials, Measures on the real line, Bernstein measures, Chebyshev polynomials
Bibliographic citation
Electronic Transactions on Numerical Analysis, 2008, vol. 30, p. 278-290
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