Professor Ulrich Abel
Technische Hochschule Mittelhessen
Professor, Mathematics
Germany
My Publications
Asymptotic Expansions for Bernstein–Durrmeyer–Chlodovsky Polynomials
Results in Mathematics
July 2018
A Complete Asymptotic Expansion for the Quasi-interpolants of Gauß–Weierstraß Operators
Mediterranean Journal of Mathematics
June 2018
A representation formula of Bernstein operators
Monatshefte für Mathematik
February 2018
An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials
Georgian Mathematical Journal
February 2018
An inequality involving Bernstein polynomials and convex functions
October 2017
High order algorithms for calculating roots
The Mathematical Gazette
October 2016
Geometric series of Bernstein operators revisited
April 2013
Binomial Polynomials
Computational Methods and Function Theory
March 2013
Complete Asymptotic Expansions for Altomare Operators
Mediterranean Journal of Mathematics
April 2012
New representation of the remainder in the Bernstein approximation
September 2011
Complete Asymptotic Expansion for Generalized Favard Operators
Constructive Approximation
June 2011
The Bleimann–Butzer–Hahn operators: old and new results
Applicable Analysis
March 2011
A complete asymptotic expansion for a sequence of certain sums
Applied Mathematics and Computation
December 2010
A Best Asymptotic Constant Related to the Operators of Bleimann, Butzer and Hahn
Results in Mathematics
August 2010
Local approximation by a variant of Bernstein–Durrmeyer operators
Nonlinear Analysis
June 2008
Local Approximation by Generalized Baskakov–Durrmeyer Operators
Numerical Functional Analysis and Optimization
April 2007
A complete asymptotic expansion of power means
January 2007
Asymptotic Expansion for Szász-Mirakyan Operators
January 2007
The differential mean value of divided differences
January 2007
An identity for a general class of approximation operators
September 2006
A new proof of an identity of Jetter and Stöckler for multivariate Bernstein polynomials
Computer Aided Geometric Design
March 2006
Local approximation by Beta operators
Nonlinear Analysis
July 2005
Asymptotic approximation of functions and their derivatives by generalized Baskakov-Szá...
Analysis in Theory and Applications
March 2005
Rate of convergence of beta operators of second kind for functions with derivatives of ...
International Journal of Mathematics and Mathematical Sciences
January 2005
The complete asymptotic expansionfor a general Durrmeyer variant of the Meyer-Konig and...
Mathematical and Computer Modelling
October 2004
The mean value theorem of Flett and divided differences
July 2004
Asymptotic approximation by de la Vallée Poussin means and their derivatives
February 2004
Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the...
International Journal of Mathematics and Mathematical Sciences
January 2004
Journal of Computational Analysis and Applications
January 2001
On the Asymptotic Approximation with Bivariate Operators of Bleimann, Butzer, and Hahn
March 1999
The Complete Asymptotic Expansion for the Meyer-König and Zeller Operators
April 1997
The Moments for the Meyer-König and Zeller Operators
September 1995
A proof of Mikusiński's theorem on bounded moments with bernstein polynomials
Acta Mathematica Hungarica
September 1988
On the uniform approximation to continuous functions by linear aggregates of translations
Mathematische Annalen
December 1984
Ein Approximationssatz f�r den RaumL 1(??, ?)
Archiv der Mathematik
December 1983