Asymptotic behaviour of iterates of positive linear operators

• Ioan Rasa ^[1]
  1. [1] Technical University of Cluj-Napoca

     Technical University of Cluj-Napoca

     Rumanía

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 1, Nº. 2, 2009, págs. 195-204
• Idioma: inglés
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• Resumen

  • We investigate the iterates of positive linear operators on C[0, 1] which preserve the linear functions, and the asymptotic behaviour of the associated semigroup. The general results are applied to the Bernstein-Schnabl operators on the unit interval.