2 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
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…