Veröffentlichungen "Grothmann, René"

Artikel

• Grothmann, René ; Blatt, Hans-Peter:
  Interpolation characteristics of maximal polynomial approximants to rational functions.
  In: Annales Polonici mathematici. 123 (2019). - S. 155-168.
  ISSN 0066-2216 ; 1730-6272
  (Peer-Review-Journal)
• 

  Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Regions of meromorphy and value distribution of geometrically converging rational functions.
  In: Journal of mathematical analysis and applications. 382 (2011). - S. 66-76.
  ISSN 0022-247x ; 1096-0813
  (Peer-Review-Journal)
• 

  Grothmann, René ; Sommer, Manfred:
  Composing circular arcs with minimal NURBS.
  In: International mathematical forum. 4 (2009) 5-8. - S. 193-218.
  ISSN 1312-7594
  (Peer-Review-Journal)
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Sign Changes in Rational L^1_w-approximation.
  In: Ukrainian mathematical journal. 58 (2006) 1. - S. 283-287.
  ISSN 0041-5995
  (Peer-Review-Journal)
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Sequences with equi-distributed extreme points in uniform polynomial approximation.
  In: Journal of approximation theory. 126 (2004). - S. 157-170.
  ISSN 0021-9045
  (Peer-Review-Journal)
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Poles and alternation points in real rational Chebyshev Approximation.
  In: Computational methods and function theory. 3 (2003). - S. 165-177.
  ISSN 1617-9447 ; 2195-3724
  (Peer-Review-Journal)
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  On sign changes in weighted polynomial approximation.
  In: Acta mathematica Hungarica. 95 (2002). - S. 309-322.
  ISSN 0001-5954 ; 0236-5294
  (Peer-Review-Journal)
• Grothmann, René:
  Distribution of Interpolation Points.
  In: Arkiv för matematik. 34 (1996) 1. - S. 103-117.
  ISSN 0004-2080
  (Peer-Review-Journal)
• Grothmann, René ; Mhaskar, Hrushikesh N.:
  Detection of Singularities using Segment Approximation.
  In: Mathematics of computation. 59 (1992) 200.
  ISSN 0025-5718
  (Peer-Review-Journal)
• Blatt, Hans-Peter ; Grothmann, René:
  Erdös-Turán theorems on a system of Jordan curves and arcs.
  In: Constructive approximation. 7 (1991) 1. - S. 19-47.
  ISSN 0176-4276 ; 1432-0940
  (Peer-Review-Journal)
• Grothmann, René:
  On the Zeros of Sequences of Polynomials.
  In: Journal of approximation theory. 61 (Juni 1990) 3. - S. 351-359.
  ISSN 0021-9045
  (Peer-Review-Journal)
• Grothmann, René:
  A Note on Strong Uniqueness Constants.
  In: Journal of approximation theory. 58 (1989) 3. - S. 358-360.
  ISSN 0021-9045
  (Peer-Review-Journal)
• Borwein, Peter ; Kroó, András ; Grothmann, René ; Saff, Ed B.:
  The Density of Alternation Points in Rational Approximation.
  In: Proceedings of the American Mathematical Society. 105 (1989) 4. - S. 881-888.
  ISSN 0002-9939 ; 1088-6826
  (Peer-Review-Journal)
• Grothmann, René:
  Local uniqueness in non-uniqueness spaces.
  In: Approximation theory and its applications : ATA. 4 (1988) 4. - S. 35-39.
  ISSN 1000-9221
  (Peer-Review-Journal)
• 

  Gauthier, Paul M. ; Grothmann, René ; Hengartner, Walter:
  Asymptotic Maximum Principles for Subharmonic and Plurisubharmonic Functions.
  In: Canadian journal of mathematics. 40 (1988) 2. - S. 477-486.
  ISSN 0008-414x
  (Peer-Review-Journal)
• 

  Grothmann, René:
  On the Real CF-Method for Polynomial Approximation and Strong Unicity Constants.
  In: Journal of approximation theory. 55 (1988) 1. - S. 86-103.
  ISSN 0021-9045
  (Peer-Review-Journal)
• 

  Grothmann, René:
  Optimal Recovery by Linear Functionals.
  In: Journal of approximation theory. 44 (1985) 2. - S. 167-172.
  ISSN 0021-9045
  (Peer-Review-Journal)

Buch

• Actual problems of control theory, topology and operator equations : International Jubilee Conference at the Kyrgyz-Russian Slavic University Bishkek, Kyrgyzstan, September 15 - 21, 2008.
  Hrsg.: Grothmann, René ; Lelevkina, Liliya G. ; Sommer, Manfred
  Aachen : Shaker, 2009. - XVI, 203 S. - (Mathematics)
  ISBN 978-3-8322-8367-4

Aufsatz in einem Buch

• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Growth behavior and zero distribution of maximally convergent rational approximants.
  In: Neamtu, Marian ; Schumaker, Larry (Hrsg.): Approximation Theory XIII: San Antonio 2010. - New York : Springer, 2011. - (Springer Proceedings in Mathematics ; 13)
  ISBN 978-1-4614-0771-3
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Alternation Points in Rational Chebyshev Approximation.
  In: Bojanov, Borislav D. (Hrsg.): Constructive Theory of Functions : Varna 2002 ; International Conference on Constructive Theory of Functions which took place in Varna on June 19 - 23, 2002. - Sofia : DARBA, 2003. - S. 213-218
  ISBN 954-901266-2
• Blatt, Hans-Peter ; Grothmann, René ; Kovacheva, Ralitza K.:
  Discrepancy Estimates and Rational Chebyshev Approximation.
  In: Bojanov, Borislav D. (Hrsg.): Constructive Theory of Functions : Varna 2002 ; International Conference on Constructive Theory of Functions which took place in Varna on June 19 - 23, 2002. - Sofia : DARBA, 2003. - S. 219-224
  ISBN 954-901266-2
  (Begutachteter Beitrag / peer-reviewed paper)
• Grothmann, René:
  On the problem of Poreda.
  In: Papamichael, Nicolas ; Ruscheweyh, Stephan ; Saff, Edward B. (Hrsg.): Computational Methods and Function Theory 1997 : Proceedings of the Third CMFT Conference, 13-17 October 1997, Nicosia, Cyprus. - Singapore : World Scientific, 1999. - S. 267-273. - (Series in approximations and decompositions ; 11)
  ISBN 981-02-3626-3
• Grothmann, René:
  Ostrowski Gaps, Overconvergence and Zeros of Polynomials.
  In: Chui, Charles K. ; Schumaker, Larry L. ; Ward, Joseph D. (Hrsg.): Approximation theory VI : proceedings of the Sixth International Symposium on Approximation Theory, held at Texas A & M University on January 9-13,1989. Volume 1. - Boston : Academic Press, 1989. - S. 303-306
  ISBN 0-12-174586-4
  (Begutachteter Beitrag / peer-reviewed paper)
• Grothmann, René ; Saff, Ed B.:
  On the behavior of zeros and poles of best uniform polynomial and rational approximants.
  In: Cuyt, Annie (Hrsg.): Nonlinear numerical methods and rational approximation. - Dordrecht : Reidel, 1988. - S. 57-75. - (Mathematics and its applications ; 43)
  ISBN 90-277-2669-8
  (Begutachteter Beitrag / peer-reviewed paper)

Hochschulschrift

• Grothmann, René:
  Interpolation Points and Zeros of Polynomials in Approximation Theory.
  1993
  (Habilitation, 1993, Katholische Universität Eichstätt-Ingolstadt)
• Grothmann, René:
  Zur Größenordnung der starken Eindeutigkeitskonstanten von holomorphen Funktionen.
  1986. - 114 S.
  (Dissertation, 1986, Katholische Universität Eichstätt-Ingolstadt)

Preprint, Working paper, Diskussionspapier

• 

  Grothmann, René:
  A Simple Rule to find a Basic Feasible Solution.
  online : arXiv, 2019. - 5 S.
• 

  

  Grothmann, René:
  A Simple Rule to find a Basic Feasible Solution.
  Eichstätt, 2019. - 5 S.
  arXiv:1905.09636