Geodesic
On Padé and Best Rational Approximation
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 50-57

Voir la notice de l'article provenant de la source Cambridge University Press

It is reasonable to expect that, under suitable conditions, Padé approximants should provide nearly optimal rational approximations to analytic functions in the unit disc. This is shown to be the case for e z in the sense that main diagonal Padé approximants are shown to converge as expeditiously as best uniform approximants. Some more general but less precise related results are discussed.
DOI : 10.4153/CMB-1983-009-x
Mots-clés : 41A20, 41A50, Padé, Rational Approximation 
Borwein, Peter B. On Padé and Best Rational Approximation. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 50-57. doi: 10.4153/CMB-1983-009-x
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