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2011 Asymptotic Behaviour of the Iterates of Positive Linear Operators
Ioan Gavrea, Mircea Ivan
Abstr. Appl. Anal. 2011: 1-11 (2011). DOI: 10.1155/2011/670509


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.


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Ioan Gavrea. Mircea Ivan. "Asymptotic Behaviour of the Iterates of Positive Linear Operators." Abstr. Appl. Anal. 2011 1 - 11, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1223.41015
MathSciNet: MR2802830
Digital Object Identifier: 10.1155/2011/670509

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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