Continued Fractions which Correspond to Power Series Expansions at Two Points
- 1 April 1976
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 17 (2) , 233-247
- https://doi.org/10.1093/imamat/17.2.233
Abstract
Theoretical results are derived for constructing continued fractions which correspond, in some prescribed way, to given power series expansions at two points. In those cases where the two power series are expansions of the same function, new approximations to the functions are obtained. Error estimates for such rational function approximations are developed in certain cases. Some examples are given.Keywords
This publication has 0 references indexed in Scilit: