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Mathematics of Computation

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Minimal quadratures for functions of low-order continuity


Authors: L. W. Johnson and R. D. Riess
Journal: Math. Comp. 25 (1971), 831-835
MSC: Primary 65D30
MathSciNet review: 0298940
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Abstract: An analog of Wilf's quadrature is developed for functions of low-order continuity. This analog is used to demonstrate that the order of convergence of Wilf's quadrature is at least $ 1/n$.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1971-0298940-X
Keywords: Wilf's quadrature, optimal quadrature, order of convergence, low-order continuity
Article copyright: © Copyright 1971 American Mathematical Society