3 citations · 3 across the 5 of their papers we have counts for
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A new class of positive linear operators preserving logarithmic functions
Laura Angeloni, Danilo Costarelli, Chiara Darielli
In this paper, we introduce a new class of positive linear operators that generalize the classical Bernstein operators. Specifically, we construct a sequence of operators that repr…
A Kantorovich version of Bernstein-type logarithmic operators
Laura Angeloni, Danilo Costarelli, Chiara Darielli
In this paper, we introduce a Kantorovich version of the Bernstein-type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that prese…
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…
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…