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An estimate of goodness of cubatures for the unit circle in $ {\bf R}\sp 2$


Author: J. I. Maeztu
Journal: Math. Comp. 47 (1986), 651-658
MSC: Primary 65D32
DOI: https://doi.org/10.1090/S0025-5718-1986-0856709-X
MathSciNet review: 856709
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Abstract: The Sarma-Eberlein estimate $ {s_E}$ is an estimate of goodness of cubature formulae for n-cubes defined as the integral of the square of the formula truncation error, over a function space provided with a measure. In this paper, cubature formulae for the unit circle in $ {{\mathbf{R}}^2}$ are considered and an estimate of the above type is constructed with the desirable property of being compatible with the symmetry group of the circle.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0856709-X
Article copyright: © Copyright 1986 American Mathematical Society