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- Antonio Boccuto
- 2006

In this paper we introduce a ”generalized” McShane integration for Banach-valued multifunctions with weakly compact and convex values and we give also a comparison between this integration and the… (More)

A Perron-type integral of order 1 and 2 for Riesz-space-valued functions is investigated. Some versions of integration by parts formula for this integral are proved for both orders. Mathematics… (More)

In this paper we present a Graduated Non-Convexity (GNC) algorithm for reconstructing images. We assume that the data images are blurred and corrupted by white Gaussian noise. Geometric features of… (More)

- Antonio Boccuto, Ivan Gerace, Patrizia Pucci
- Journal of Mathematical Imaging and Vision
- 2011

The problem of image restoration from blur and noise is studied. A solution of the problem is understood as the minimum of an energy function composed by two terms. The first is the data fidelity… (More)

A particular notion of limit is introduced, for Riesz space-valued functions. The definition depends on certain ideals of subsets of the domain. It is shown that, according with our definition, every… (More)

- Antonio Boccuto, Domenico Candeloro
- Inf. Sci.
- 2009

A convergence in Riesz spaces is given axiomatically. A Bochner-type integral for Riesz space-valued functions is introduced and some Vitali and Lebesgue dominated convergence theorems are proved.… (More)

- Antonio Boccuto, ALEXANDER V. BUKHVALOV
- 2002

We consider some inequalities in such classical Banach Function Spaces as Lorentz, Marcinkiewicz, and Orlicz spaces. Our aim is to explore connections between the norm of a function of two variables… (More)

0. Introduction The Vitali theorem has been widely studied in the literature. For a historical survey, see for instance [30] and the bibliography therein. This theorem is a well-known milestone in… (More)

- Antonio Boccuto, Ivan Gerace, Francesca Martinelli
- Journal of Mathematical Imaging and Vision
- 2017

The problem of image restoration from blur and noise is studied. By regularization techniques, a solution of the problem is found as the minimum of a primal energy function, which is formed by two… (More)

- Antonio Boccuto, Xenofon Dimitriou, N. Papanastassiou
- 2011

Some Schur, Vitali-Hahn-Saks and Nikodým convergence theorems for (l)-group-valued measures are given in the context of (D)-convergence. We consider both the σ-additive and the finitely additive… (More)