Approximation of analytic functions in some functional spaces and the rational approximation of functions from Hardy classes

1993 ◽  
Vol 53 (2) ◽  
pp. 158-162
Author(s):  
A. A. Dovgoshei
2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Devendra Kumar

The present paper is concerned with the rational approximation of functions holomorphic on a domainG⊂C, having generalized types of rates of growth. Moreover, we obtain the characterization of the rate of decay of product of the best approximation errors for functionsfhaving fast and slow rates of growth of the maximum modulus.


1983 ◽  
Vol 26 (1) ◽  
pp. 50-57 ◽  
Author(s):  
Peter B. Borwein

AbstractIt 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.


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