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Mathematics of Computation

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Cubature error bounds for analytic functions


Author: F. G. Lether
Journal: Math. Comp. 27 (1973), 655-668
MSC: Primary 65D30
DOI: https://doi.org/10.1090/S0025-5718-1973-0334464-0
MathSciNet review: 0334464
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Abstract: In this paper, two-dimensional cubature error bounds are developed. It is assumed that the function to be integrated is analytic, and that the domain of integration is contained in $ [ - 1,1] \times [ - 1,1]$.

Tables of error constants for several cubature rules and domains of integration are included.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0334464-0
Keywords: Cubature error bounds, Taylor series, closed bicylinder, Cauchy inequality
Article copyright: © Copyright 1973 American Mathematical Society