A. Boccuto - Academia.edu (original) (raw)

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Papers by A. Boccuto

Some Schur and basic matrix theorems with respect to ideal convergence are proved. Moreover some ... more Some Schur and basic matrix theorems with respect to ideal convergence are proved. Moreover some examples are given.

ABSTRACT Results for the Riemann-Stieltjes integral mentioned in the title of the paper are rewri... more ABSTRACT Results for the Riemann-Stieltjes integral mentioned in the title of the paper are rewritten into the context of Riesz spaces.

Some versions of Schur and Nikodym convergence-type theorems for Riesz-space- valued -additive me... more Some versions of Schur and Nikodym convergence-type theorems for Riesz-space- valued -additive measures with respect to (r)-convergence are given.

In this paper we present some types of functional and dierential equations in the context of Ries... more In this paper we present some types of functional and dierential equations in the context of Riesz spaces, after investigating further aspects of Dierential

Results in Mathematics, 2010

We note that the proof of differentiability of the integral function I2 given in [1, Theorem 7.9]... more We note that the proof of differentiability of the integral function I2 given in [1, Theorem 7.9] needs some corrections which we present here.

Journal of Mathematical Imaging and Vision, 2012

ABSTRACT The problem of image restoration from blur and noise is studied. A solution of the probl... more ABSTRACT 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 term, while the latter is related to the smoothness constraints. The discontinuities of the ideal image are unknown and must be estimated. In particular, the involved images are supposed to be piecewise continuous and with thin and continuous edges. In this paper we assume that the smoothness constraints can be either of the first order, or the second order, or the third order. The energy function that implicitly refers to discontinuities is called dual energy function. To minimize the non-convex dual energy, a GNC (Graduated Non-Convexity) technique is used. The GNC algorithm proposed in this paper is indicated as CATILED, short for Convex Approximation Technique for Interacting Line Elements Deblurring. We also prove in the Appendix the new duality Theorem 3 stated in Sect. 3. Theorem 3 shows that the first convex approximation defined in CATILED has good qualities for the reconstruction. The experimental results, given in Sect. 10, confirm the applicability of the technique.

... Appl. Anal. 79 (2001), 217-238. Via Vanvitelli, 1 - 06123 - PERUGIA, ITALIA E-mail address:an... more ... Appl. Anal. 79 (2001), 217-238. Via Vanvitelli, 1 - 06123 - PERUGIA, ITALIA E-mail address:angeloni@dipmat.unipg.it - mategian@unipg.it 1991 Mathematics Subject Classification. ... non lineari Carlo Bardaro - Ilaria Mantellini Dipartimento di Matematica e Informatica ...