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.
Ioan Gavrea. Mircea Ivan. "Asymptotic Behaviour of the Iterates of Positive Linear Operators." Abstr. Appl. Anal. 2011 1 - 11, 2011. https://doi.org/10.1155/2011/670509