DOI: 10.1515/gmj-2026-3017 ISSN: 1072-947X
Approximation of Lipschitz functions by sampling operators
Borislav R. DraganovAbstract
We establish a characterization of the rate of approximation of the generalized sampling operator for Lipschitz functions. Our primary goal is to weaken assumptions on the kernel of the sampling operator in order to be able to cover cases to which the already known general theorems are not applicable. In particular, we consider sampling operators generated by the Fejér kernel and low-order Bochner–Riesz kernels.