On the estimation of quadrature errors for analytic functions
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- by P. Davis and P. Rabinowitz PDF
- Math. Comp. 8 (1954), 193-203 Request permission
References
- Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439, DOI 10.1090/surv/005
- Philip Davis, Errors of numerical approximation for analytic functions, J. Rational Mech. Anal. 2 (1953), 303–313. MR 54348, DOI 10.1512/iumj.1953.2.52016 C. Lanczos, Introduction, Tables of Chebyshev Polynomials. NBS Applied Math., Ser. 9, Washington, D. C., 1952.
- Arnold N. Lowan, Norman Davids, and Arthur Levenson, Table of the zeros of the Legendre polynomials of order 1–16 and the weight coefficients for Gauss’ mechanical quadrature formula, Bull. Amer. Math. Soc. 48 (1942), 739–743. MR 7115, DOI 10.1090/S0002-9904-1942-07771-8 See, e.g., W. Magnus & F. Oberhettinger, Formeln und Sätze, 2nd ed., p. 3, 1st formula.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Math. Comp. 8 (1954), 193-203
- MSC: Primary 65.0X
- DOI: https://doi.org/10.1090/S0025-5718-1954-0065256-6
- MathSciNet review: 0065256