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- Title
Approximation of 1/x by exponential sums in [1, ∞).
- Authors
Braess, Dietrich; Hackbusch, Wolfgang
- Abstract
Approximations of 1/x by sums of exponentials are well studied for finite intervals. Here the error decreases like O(exp(−ck)) with the order k of the exponential sum. In this paper we investigate approximations of 1/x in the interval [1, ∞). We prove estimates of the error by imanumdri015f02 and confirm this asymptotic estimate by numerical results. Numerical results lead to the conjecture that the constant in the exponent equals imanumdri015f03.
- Subjects
APPROXIMATION theory; NUMERICAL analysis; EXPONENTIAL sums; NUMERICAL functions; MATHEMATICAL analysis
- Publication
IMA Journal of Numerical Analysis, 2005, Vol 25, Issue 4, p685
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/dri015