14 citations · 14 across the 9 of their papers we have counts for
10 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…
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 generalizatio…
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
Ana-Maria Acu, Margareta Heilmann, Ioan Rasa +1
The idea behind Poisson approximation to the binomial distribution was used in [J. de la Cal, F. Luquin, J. Approx. Theory, 68(3), 1992, 322-329] and subsequent papers in order to…
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render
Ana-Maria Acu, Heiner Gonska, Margareta Heilmann
The Bernstein-type operator of Aldaz, Kounchev and Render (2009) is discussed. New direct results in terms of the classical second order modulus as well as in a modification follow…
A Nice Representation for a Link between Baskakov- and Szász-Mirakjan-Durrmeyer Operators and their Kantorovich Variants
Margareta Heilmann, Ioan Raşa
In this paper we consider a link between Baskakov-Durrmeyer type operators and corresponding Kantorovich type modifications of their classical variants. We prove a useful represent…
Discrete Operators associated with Linking Operators
Margareta Heilmann, Fadel Nasaireh, Ioan Raşa
We associate to an integral operator a discrete one which is conceptually simpler, and study the relations between them.
On the composition and decomposition of positive linear operators III: A non-trivial decomposition of the Bernstein operator
Heiner Gonska, Margareta Heilmann, Alexandru Lupaş +1
The central problem in this technical report is the question if the classical Bernstein operator can be decomposed into nontrivial building blocks where one of the factors is the g…