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On Padé and Best Rational Approximation

Published online by Cambridge University Press:  20 November 2018

Peter B. Borwein
Peter B. Borwein*
Affiliation:
Mathematics Department, Dalhousie UniversityHalifax, Nova Scotia
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Abstract

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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 ez 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.

Keywords

41A2041A50PadéRational Approximation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 1 , 01 March 1983 , pp. 50 - 57
Copyright
Copyright © Canadian Mathematical Society 1983

References

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