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Interpolatory product integration for Riemann-integrable functions
1987
The Journal of the Australian Mathematical Society Series B Applied Mathematics
Preserved Fulltext
Conditions are found for the convergence of interpolatory product integration rules and the corresponding companion rules for the class of Riemann-integrable functions. These conditions are used to prove convergence for several classes of rules based on sets of zeros of orthogonal polynomials possibly augmented by one or both of the endpoints of the integration interval.
doi:10.1017/s0334270000005713
fatcat:zkdxs6ywwffb3c2arv5yjafo2u