On the speed of convergence of iteration of a function

Vladimir Drobot

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-6

Abstract:

Let f n ( x ) be the n t h iterate of a function in some interval [ 0 , c ] . It is known that if f ( x ) ∼ x − x α , α > 1 , then f n ( x ) ∼ A n a for some A and a . In this paper we prove a converse of this theorem: The rate of convergence of the iterates determines the form of a function.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:845310

DOI: 10.1155/S0161171294000050

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