An error bound for quadratures
J. H. Hetherington
Math. Comp. 26 (1972), 695-698
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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.
Abramowitz and Irene
A. Stegun, Handbook of mathematical functions with formulas,
graphs, and mathematical tables, National Bureau of Standards Applied
Mathematics Series, vol. 55, For sale by the Superintendent of
Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642
Similar behavior has been found experimentally by K. E. Hillstrom, Comm. ACM, v. 13, 1970, p. 362.
- M. Abramowitz & I. A. Stegun (Editors), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Nat. Bur. Standards Appl. Math. Series, 55, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 29 #4914. MR 0167642 (29:4914)
- Similar behavior has been found experimentally by K. E. Hillstrom, Comm. ACM, v. 13, 1970, p. 362.
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