5 citations · 10 across the 16 of their papers we have counts for
19 papers
Korovkin type theorems for operators acting on functions of polynomial and exponential growth on
Ulrich Abel, Ana-Maria Acu, Margareta Heilmann +1
We prove two Korovkin-type approximation theorems for sequences of positive linear operators acting on continuous functions on . Under the assumption of pointwise conve…
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 …
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 kerne…
Commutativity and spectral properties for a general class of Szasz-Mirakjan-Durrmeyer operators
Ulrich Abel, Ana Maria Acu, Margareta Heilmann +1
In this paper we present commutativity results for a general class of Szasz-Mirakjan-Durrmeyer type operators and associated differential operators and investigate their eigenfunct…
Overiteration of -variate tensor product Bernstein operators: a quantitative result
Ana-Maria Acu, Heiner Gonska
Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous…
An asymptotic formula for Aldaz-Kounchev-Render operators on the hypercube
Ana-Maria Acu, Ioan Rasa
We prove a version of a conjecture concerning the asymptotic behavior of the Aldaz-Kounchev-Render operators on the hypercube.