Publikationen
- H. Gonska, M. Heilmann, A. Lupaş ,
I. Raşa:
On the composition and decomposition of positive linear operators III: A non-trivial
decomposition of the Bernstein operator.
Technical report .
- M. Heilmann, M. Wagner:
Genuine Bernstein-Durrmeyer operators and quasi-interpolants.
eingereicht .
- M. Heilmann, M. Wagner:
Strong converse results for Baskakov-Durrmeyer operators.
eingereicht .
- H. Gonska, M. Heilmann, I. Raşa:
Kantorovitch operators of order k
Numerical Functional Analysis and Optimization, 32, No. 7, 717-738 (2011).
- M. Schäfer, W. Berchtold, M. Heilmann, S. Zmudzinski, M. Steinebach, S. Katzenbeisser:
Collosion secure fingerprint watermarking for real world applications.
In: Proceedinggs of GI-Sicherheit 2010, Oktober 2010.
- M. Heilmann, M. Wagner:
Strong converse results for Bernstein-Durrmeyer operators and their quasi-interpolants.
General Mathematics, 18, No. 1, 45-53 (2010).
- H. Gonska, M. Heilmann, I. Raşa:
Asymptotic behaviour of differentiated
Bernstein polynomials revisited.
General Mathematics, 18, No. 1, 55-70 (2010).
- H. Gonska, M. Heilmann, I. Raşa:
Convergence of iterates of genuine and
ultraspherical Durrmeyer operators to the limiting semigroup: Cē-estimates.
Journal Approx. Theory, 160, 243-255 (2009).
- U. Abel, M. Heilmann:
The complete asymptotic expansion for
Bernstein-Durrmeyer operators with Jacobi weights.
Mediterranean Journal of
Mathematics, 487-499 (2004).
-
M. Heilmann:
Rodriguez-type representation for the
eigenfunctions of Durrmeyer-type operators.
Result. Math.,44, 97-105 (2003).
- M. Heilmann:
Eigenfunctions od Durrmeyer-type
modifications of Meyer-König and Zeller operators.
Journal Approx. Theory, 125/1, 63-73
(2003).
- M. Heilmann:
Commutativity of Durrmeyer-type modifications
of Meyer-König and Zeller and Baskakov-operators.
B. Bojanov (ed.) et al., Constructive Theory of
Functions, Proceedings of the international conference, Varna, Bulgaria,
June 19-23, 2002. Sofia:
DARBA. 295-301 (2003).
- M. Heilmann:
Saturation of linear combinations of
Baskakov-Durrmeyer-type operators
Appl. Anal., 59, No. 1-4, 93-107 (1995).
- M. Heilmann:
Explicit Voronovskaja-type results for linear
combinations of BDT-operators.
Approximation Theory Appl., 11, No. 1,
54-61 (1995).
- M. Heilmann:
Rate of approximation of weighted derivatives by
linear combinations of SMD-operators.
D. Braess (ed.) et al.,Numerical methods in
approximation theory. Vol. 9: Proceedings of the conference held in Oberwolfach, Germany, November 24-30, 1991. Basel: Birkhäuser. ISNM,
Int. Ser. Numer. Math. 105, 97-115 (1992).
- M. Heilmann, M. W. Müller:
Equivalence of a weighted modulus of
smoothness and a modified weighted K-functional,
P. Nevai, A. Pinkus (eds.), Progress in
approximation theory, Academic Press, Boston,
MA, 467-473 (1991).
- M. Heilmann, M. W. Müller:
Direct and converse results on simultaneous
approximation by the method of Bernstein-Durrmeyer operators.
Algorithms for approximation II, Proc. 2nd Int.
Conf., Shrivenham/UK 1988, 107-116 (1990).
- M. Heilmann, M. W. Müller:
Weighted simultaneous Lp-approximation
by the method of Baskakov-Durrmeyer operators.
Approximation Theory VI, Proc. 6th Int.
Symp., College Station/TX (USA)
1989, Vol. 1, 331-332 (1989).
- M. Heilmann, M. W. Müller:
Direct and converse results on
weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer
type.
Result. Math. 16 No.3/4,
228-242 (1989).
- M. Heilmann:
On simultaneous approximation by
optimal algebraic polynomials.
Result. Math. 16, No.1/2,
77-81 (1989).
- M. Heilmann:
Direct and converse results for
operators of Baskakov-Durrmeyer type.
Approximation Theory Appl. 5,
No.1, 105-127 (1989).
- M. Heilmann, M. W. Müller:
On simultaneous approximation by
the method of Baskakov-Durrmeyer operators.
Numer. Funct. Anal. Optimization 10,
No.1/2, 127-138 (1989).
- M. Heilmann:
Commutativity of operators from
Baskakov-Durrmeyer type.
Constructive theory of functions,
Proc. Int. Conf., Varna/Bulg. 1987, 197-206 (1988).
- M. Heilmann:
Lp-saturation of some
modified Bernstein operators.
J. Approximation Theory 54,
No.3, 160-273 (1988).