Estimation of errors of Gauss-Chebyshev quadratures
نویسندگان
چکیده
منابع مشابه
On Chebyshev-Type Quadratures
According to a result of S. N. Bernstein, «-point Chebyshev quadrature formulas, with all nodes real, do not exist when n = 8 or n ä 10. Modifications of such quadrature formulas have recently been suggested by R. E. Barnhill, J. E. Dennis, Jr. and G. M. Nielson, and by D. Kahaner. We establish here certain empirical observations made by these authors, notably the presence of multiple nodes. We...
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A Chebyshev-type quadrature for a probability measure σ is a distribution which is uniform on n points and has the same first k moments as σ. We give bounds for the smallest possible n required to achieve a certain degree k. In contrast to previous results of this type, our bounds use only simple properties of σ and are thus applicable in wide generality. In particular, it is shown that wheneve...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1970
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/13.1.107