An algorithm for the Hausdorff moment problem
Copyright policy )An algorithm for the Hausdorff moment problem
Given 0?x?1 and the moments $$\mu _n (f) = \int\limits_0^1 {t^n f(t)dt} $$ of a suitably smooth functionf, a sequence of approximations is presented which converges tof(x). An asymptotic expansion of the error is established. This shows how to construct a useful acceleration of the convergence.
- Cardiff University United Kingdom
- Aberystwyth University United Kingdom
- DigiZeitschriften Germany
Extrapolation to the limit, deferred corrections, numerical examples, 510.mathematics, asymptotic expansion, Moment problems, Laplace transform, Hausdorff moment problem, numerical inversion of the Laplace transform, Article, Numerical methods for integral transforms, acceleration of convergence
Extrapolation to the limit, deferred corrections, numerical examples, 510.mathematics, asymptotic expansion, Moment problems, Laplace transform, Hausdorff moment problem, numerical inversion of the Laplace transform, Article, Numerical methods for integral transforms, acceleration of convergence
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