Cross-product cubature error bounds

Author:
Frank G. Lether

Journal:
Math. Comp. **24** (1970), 583-592

MSC:
Primary 65.55

DOI:
https://doi.org/10.1090/S0025-5718-1970-0275673-6

MathSciNet review:
0275673

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with cross-product cubature rules. We use Sard's Kernel Theorem to express the cross-product cubature error in terms of one variable kernels. This simplified representation of the error is then used to derive cubature error bounds analogous to those obtained by Secrest and Stroud , for quadrature rules.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1970-0275673-6

Keywords:
Sard kernels,
Gaussian rules,
Peano kernels,
cross-product rules,
cubature error bounds

Article copyright:
© Copyright 1970
American Mathematical Society