l^p approximation 1max-product operators 1modulus of smoothness 1sampling theory 1shape preservation 1
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math.FA2026
L^{p}-Approximation and Shape-preserving Properties of the Max-product Generalized Sampling Operators
Lorenzo Boccali, Gianluca Vinti
The paper analyzes the L^p‑norm convergence of max‑product generalized sampling operators and provides quantitative error bounds using the τ‑modulus of smoothness, while also showi…
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…