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math.CA2025
A representation for the integral kernel of the composition of multivariate Bernstein-Durrmeyer operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann +1
This paper presents a representation for the kernel of the composition of multivariate Bernstein-Durrmeyer operators for functions defined on the standard simplex in …
math.CA2025
Kernels for composition of positive linear operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann +1
This paper investigates the composition of Bernstein--Durrmeyer operators and Szász--Mirakjan--Durrmeyer operators, focusing on the structure and properties of the associated kern…
math.CA2024
Asymptotic properties for a general class of Szasz-Mirakjan-Durrmeyer operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann +1
In this paper we introduce a general family of Szász--Mirakjan--Durrmeyer type operators depending on an integer parameter . They can be viewed as a generalizati…