On generalized Gaussian quadrature

Authors:
Yudell L. Luke, Bing Yuan Ting and Marilyn J. Kemp

Journal:
Math. Comp. **29** (1975), 1083-1093

MSC:
Primary 65D30

MathSciNet review:
0388740

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Abstract: A general interpolation formula is derived such that when it is multiplied by a weight function and integrated, the result becomes a generalized Gaussian quadrature scheme which allows for an arbitrary number of preassigned nodes. The errors in the interpolation and quadrature formulas are studied. All of this generalizes previous results of the first-named author where no preassigned nodes were permitted.

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DOI:
https://doi.org/10.1090/S0025-5718-1975-0388740-8

Article copyright:
© Copyright 1975
American Mathematical Society