On the estimation of quadrature errors for analytic functions

Authors:
P. Davis and P. Rabinowitz

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

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References | Similar Articles | Additional Information

**[1]**S. Bergman,*Kernel Functions and Conformal Mapping*, Math. Surveys No. 5, New York, 1950. MR**0038439 (12:402a)****[2]**P. Davis, ``Errors of numerical approximation for analytic functions,''*Jn. of Rational Mech. and Analysis*, v. 2, 1953, p. 303-313. MR**0054348 (14:907f)****[3]**C. Lanczos, Introduction,*Tables of Chebyshev Polynomials*. NBS Applied Math., Ser. 9, Washington, D. C., 1952.**[4]**A. N. Lowan, Norman Davids & Arthur Levinson, ``Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss' mechanical quadrature formula,'' Am. Math. Soc.,*Bull.*, v. 48, 1942, p. 739-743. MR**0007115 (4:90a)****[5]**See, e.g., W. Magnus & F. Oberhettinger,*Formeln und Sätze*, 2nd ed., p. 3, 1st formula.

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DOI:
https://doi.org/10.1090/S0025-5718-1954-0065256-6

Article copyright:
© Copyright 1954
American Mathematical Society