Quadrature formulae and functions of exponential type
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- by Qazi I. Rahman and Gerhard Schmeisser PDF
- Math. Comp. 54 (1990), 245-270 Request permission
Abstract:
In this paper we obtain certain generalizations of the trapezoidal rule and the Euler-Maclaurin formula that involve derivatives. In the case of quadrature of functions of exponential type over infinite intervals we find conditions under which existence of the (improper) integral and convergence of the approximating series become equivalent. In the process, we also establish a best possible version of a theorem of R. P. Boas and A. C. Schaeffer.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Math. Comp. 54 (1990), 245-270
- MSC: Primary 65D32
- DOI: https://doi.org/10.1090/S0025-5718-1990-0990602-8
- MathSciNet review: 990602