Aproximación de sucesiones definidas por recurrencia
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| Autor: | |
|---|---|
| Médium: | artículo original |
| Stav: | Versión publicada |
| Datum vydání: | 2011 |
| Popis: | It is established that recurrent sequences, xn+1 = f(xn),which converge to a fixed point L where the derivative α = f '(L) satisfies 0 < |α| < 1 and where the rest r(x) = f(x) - L - α(x-L) satisfies r(x) = O(|x - L|1+ s), for some s > 0, can be approximated as xn ~ L + cαn for a certain constant c. It is shown that such approximation might fail if only the condition 0 < |α| < 1 is assumed. |
| Země: | Portal de Revistas UCR |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Jazyk: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/2699 |
| On-line přístup: | https://revistas.ucr.ac.cr/index.php/cienciaytecnologia/article/view/2699 |