Acta Mathematica Hungarica

, Volume 111, Issue 1–2, pp 119–130 | Cite as

The limiting semigroup of the Bernstein iterates: degree of convergence

  • Heiner Gonska
  • Ioan Raşa


We study the degree of approximation of the iterated Bernstein operators to the members (T(t)) t 0, of their limiting semigroup. This yields a full quantitative version of an earlier convergence result by Karlin and Ziegler.

Bernstein iterates limiting semigroup degree of convergence 


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Copyright information

© Springer-Verlag/Akadémiai Kiadó 2006

Authors and Affiliations

  • Heiner Gonska
    • 1
  • Ioan Raşa
    • 2
  1. 1.Department of Mathematics, University of Duisburg-Essen
  2. 2.Department of Mathematics, Technical University

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