47 citations · 105 across the 17 of their papers we have counts for
19 papers
Saturation and Localization Results for Max-product Generalized Sampling Operators based on Centered Bell-shaped Kernels
Lorenzo Boccali, Gianluca Vinti
In this paper, we establish the saturation order and a local inverse result for the uniform approximation of non-negative, bounded, and uniformly continuous functions on $\mathbb{R…
L^{p}-Approximation and Shape-preserving Properties of the Max-product Generalized Sampling Operators
Lorenzo Boccali, Gianluca Vinti
In this paper, we investigate the convergence in the -norm and certain shape-preserving properties of the max-product generalized sampling operators. More precisely, we esta…
A characterization of generalized Lipschitz classes by the rate of convergence of semi-discrete operators
Danilo Costarelli, Michele Piconi, Gianluca Vinti
In this paper, we establish a comprehensive characterization of the generalized Lipschitz classes through the study of the rate of convergence of a family of semi-discrete sampling…
An approximation-based approach versus an AI one for the study of CT images of abdominal aorta aneurysms
Lucrezia Rinelli, Arianna Travaglini, Nicolò Vescera +1
This study evaluates two approaches applied to computed tomography (CT) images of patients with abdominal aortic aneurysm: one deterministic, based on tools of Approximation Theory…
Max-product Kantorovich sampling operators: quantitative estimates in functional spaces
Lorenzo Boccali, Danilo Costarelli, Gianluca Vinti
In this paper, we study the order of approximation for max-product Kantorovich sampling operators based upon generalized kernels in the setting of Orlicz spaces. We establish a qua…
Convergence results in Orlicz spaces for sequences of max-product Kantorovich sampling operators
Lorenzo Boccali, Danilo Costarelli, Gianluca Vinti
In this paper, we provide a unifying theory concerning the convergence properties of the so-called max-product Kantorovich sampling operators based upon generalized kernels in the…
Quantitative estimates for nonlinear sampling Kantorovich operators
Nursel Cetin, Danilo Costarelli, Gianluca Vinti
In this paper, we establish quantitative estimates for nonlinear sampling Kantorovich operators in terms of the modulus of continuity in the setting of Orlicz spaces. This general…
On the convergence properties of Durrmeyer-Sampling Type Operators in Orlicz spaces
Danilo Costarelli, Michele Piconi, Gianluca Vinti
Here we provide a unifying treatment of the convergence of a general form of sampling type operators, given by the so-called Durrmeyer sampling type series. In particular we provid…
Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing
Laura Angeloni, Danilo Costarelli, Gianluca Vinti
In this paper we study the problem of the convergence in variation for the generalized sampling series based upon averaged-type kernels in the multidimensional setting. As a crucia…
Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications
Danilo Costarelli, Anna Rita Sambucini, Gianluca Vinti
In this paper, convergence results in a multivariate setting have been proved for a family of neural network operators of the max-product type. In particular, the coefficients expr…
An inverse result of approximation by sampling Kantorovich series
D. Costarelli, G. Vinti
In the present paper, an inverse result of approximation, i.e., a saturation theorem for the sampling Kantorovich operators is derived, in the case of uniform approximation for uni…
A general approximation approach for the simultaneous treatment of integral and discrete operators
Gianluca Vinti, Luca Zampogni
In this paper we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functi…
A characterization of the convergence in variation for the generalized sampling series
Laura Angeloni, Danilo Costarelli, Gianluca Vinti
In this paper, we study the convergence in variation for the generalized sampling operators based upon averaged-type kernels and we obtain a characterization of absolutely continuo…
Detection of thermal bridges from thermographic images for the analysis of buildings energy performance
Francesco Asdrubali, Giorgio Baldinelli, Francesco Bianchi +4
In this paper, we develop a procedure for the detection of the contours of thermal bridges from thermographic images, in order to study the energetic performance of buildings. Two…
Approximation of discontinuous signals by sampling Kantorovich series
Danilo Costarelli, Anna Maria Minotti, Gianluca Vinti
In this paper, the behavior of the sampling Kantorovich operators has been studied, when discontinuous signals are considered in the above sampling series. Moreover, the rate of ap…
Applications of sampling Kantorovich operators to thermographic images for seismic engineering
Danilo Costarelli, Federico Cluni, Anna Maria Minotti +1
In this paper, we present some applications of the multivariate sampling Kantorovich operators to seismic engineering. The mathematical theory of these operators, both in the…
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
Danilo Costarelli, Gianluca Vinti
In this paper, the problem of the order of approximation for the multivariate sampling Kantorovich operators is studied. The cases of the uniform approximation for uniformly contin…
Convergence and rate of approximation in for a class of Mellin integral operators
Laura Angeloni, Gianluca Vinti
In this paper we study convergence results and rate of approximation for a family of linear integral operators of Mellin type in the frame of . Here $BV^φ(\ma…
Approximation results for a general class of Kantorovich type operators
Gianluca Vinti, Luca Zampogni
We introduce and study a family of integral operators in the Kantorovich sense for functions acting on locally compact topological groups. We obtain convergence results for the abo…