This paper defines an optimal method to reconstruct the solutions of operator equations of the first kind. Only the case of compact operators is considered. The method is in principle a discrepancy ...

In this paper three methods are derived for approximating $f$, given its Laplace transform $g$ on $(0, \infty)$, i.e., $\int^\infty_0 f(t) \exp(-st) dt = g(s ...