An error bound for quadratures
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- by J. H. Hetherington PDF
- Math. Comp. 26 (1972), 695-698 Request permission
Abstract:
A definition of a length scale is given for analytic functions. Quadrature error bounds based on this length scale can be used to compare different orders and types of quadrature rules.References
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642 Similar behavior has been found experimentally by K. E. Hillstrom, Comm. ACM, v. 13, 1970, p. 362.
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 695-698
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1972-0331732-2
- MathSciNet review: 0331732