Learn More
Stieltjes moment problem is considered to recover a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained through maximum entropy technique, under the constraint of few fractional moments. The latter are numerically obtained from the infinite sequence of ordinary moments and are(More)
1. Introduction In Applied Sciences a variety of problems, formulated in terms of linear boundary values or integral equations, leads to a Hausdorff moment problem. Such a problem arises when a given sequence of real numbers may be represented as the moments around the origin of non-negative measure, defined on a finite interval, typically [0, 1]. The(More)
The recovering of a positive density, of which a nite number of moments is assigned, is considered (in the Stieltjes and Hamburger moment problems). In the choice of the approximant the Maximum Entropy approach is adopted. Two main problems are taken into account. 1. A review of diierent criteria concerning the determinacy and indeterminacy of the innnite(More)