Aproximación de sucesiones definidas por recurrencia
Sparad:
Upphovsman: | |
---|---|
Materialtyp: | artículo original |
Status: | Versión publicada |
Utgivningstid: | 2011 |
Beskrivning: | 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. |
Land: | Portal de Revistas UCR |
Organisation: | Universidad de Costa Rica |
Repositorio: | Portal de Revistas UCR |
Språk: | Español |
OAI Identifier: | oai:portal.ucr.ac.cr:article/2699 |
Länkar: | https://revistas.ucr.ac.cr/index.php/cienciaytecnologia/article/view/2699 |