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

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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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     title = {On {Pad\'e} and {Best} {Rational} {Approximation}},
     journal = {Canadian mathematical bulletin},
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     year = {1983},
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     number = {1},
     doi = {10.4153/CMB-1983-009-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-009-x/}
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