Asymptotic Behaviour of the Iterates of Positive Linear Operators

Ioan Gavrea and Mircea Ivan

Abstract and Applied Analysis, 2011, vol. 2011, 1-11

Abstract:

We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set. As applications, we deduce the asymptotic behaviour of the iterates of almost all classic and new positive linear operators.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:670509

DOI: 10.1155/2011/670509

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