Padé approximation and gaussian quadrature
- 1 August 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 11 (1) , 63-69
- https://doi.org/10.1017/s0004972700043641
Abstract
For certain types of formal power series, including the series of Stieltjes, we prove that the [n, n+j], j ≥ −1, Padé approximants coincide with certain gaussian quadrature formulae and hence, convergence of these approximants follows immediately.Keywords
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