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Eberlein measure and mechanical quadrature formulae II. Numerical results


Authors: V. L. N. Sarma and A. H. Stroud
Journal: Math. Comp. 23 (1969), 781-784
MSC: Primary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1969-0258282-6
MathSciNet review: 0258282
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Abstract: In a previous paper it was shown how a probability measure (Eberlein measure) on the closed unit ball of the sequence space, $ {l_1}$, can be used to find the variance $ {\sigma ^2}$ of the error functional for a quadrature formula for the $ k$-dimensional cube, regarded as a random variable. Here we give values of $ \sigma $ for some specific formulae.


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DOI: https://doi.org/10.1090/S0025-5718-1969-0258282-6
Article copyright: © Copyright 1969 American Mathematical Society