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20142025
most citedConvergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications

47 citations · 176 across the 15 of their papers we have counts for

collaborators

16 papers

math.FA2025

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…

math.FA2024★ 2 cited

Advancements in nonlinear exponential sampling: convergence, quantitative analysis and Voronovskaya-type formula

Danilo Costarelli, Mariarosaria Natale

In this paper, we introduce the nonlinear exponential Kantorovich sampling series. We establish pointwise and uniform convergence properties and a nonlinear asymptotic formula of t…

math.FA2023★ 26 cited

A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing

Danilo Costarelli, Anna Rita Sambucini

The aim of this paper is to present a comparison among the fuzzy-type algorithm for image rescaling introduced by Jurio et al., 2011, quoted in the list of references, with some ot…

math.FA2023★ 2 cited

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…

math.FA2023★ 9 cited

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…

math.FA2021

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…