On the nonexistence of simplex integration rules for infinite integrals
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- by P. J. Davis and P. Rabinowitz PDF
- Math. Comp. 26 (1972), 687-688 Request permission
Abstract:
It is shown that there do not exist integration rules of the form \[ \int _0^\infty {f(x)} dx = \sum \limits _{i = 1}^n {{w_{_i}}f({x_i}) + {C_n}{f^{(m)}}(\xi ),\quad 0 < \xi < \infty .} \]References
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 687-688
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1972-0326999-0
- MathSciNet review: 0326999