On the speed of convergence of iteration of a function
Let fn(x) be the nth iterate of a function in some interval [0,c]. It is known that if f(x)∼x−xα, α>1, then fn(x)∼Ana 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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000050 |