1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.FA2019
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…
math.FA2018★ 1 cited
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…
math.FA2017
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…