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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)

- M Frontini, A Tagliani, Italy Sommario
- 2007

The maximum entropy (M.E.) approach to the nite Hausdorr moment problem is studied, a new approach to prove the necessary and suucient conditions for the existence of M.E. solution is considered by transforming the moment problem into a system of ordinary diierential equations. The new technique allows also to prove entropy convergence of the resulting… (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)

- M Frontini, A Tagliani
- 1996

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)