3 papers
math.FA2026
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…
math.FA2026
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…
math.CA2024
Approximation processes by multidimensional Bernstein-type exponential polynomials on the hypercube
Laura Angeloni, Danilo Costarelli, Chiara Darielli
In this paper we introduce a new family of Bernstein-type exponential polynomials on the hypercube and study their approximation properties. Such operators fix a multidi…