Open AccessAsymptotic Behaviour of the Iterates of Positive Linear Operators
Author(s) -
Ioan Gavrea,
Mircea Ivan
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/670509
Subject(s) - iterated function , mathematics , linear operators , limit (mathematics) , set (abstract data type) , pure mathematics , mathematical analysis , computer science , bounded function , programming language
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 asymptoticbehaviour of the iterates of almost all classic and new positive linear operators
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