Orthogonal polynomials and rational approximation of holomorphic functions

1983 ◽  
pp. 237-243 ◽  
Author(s):  
T. Ganelius
Keyword(s):  
Orthogonal Polynomials ◽  
Rational Approximation ◽  
Holomorphic Functions

scholarly journals Extremal quasiconformality vs bounded rational approximation

2019 ◽  
Vol 16 (2) ◽  
pp. 181-199 ◽  
Author(s):  
Samuel Krushkal
Keyword(s):  
Rational Approximation ◽  
Holomorphic Functions ◽  
Integral Approximation ◽  
Simply Connected ◽  
Sparse Set ◽  
Simply Connected Domains

We show that, on most of the hyperbolic simply connected domains, the weighty bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to the integral approximation). The obstructions are caused by the features of extremal quasiconformality.

Rational Approximation of Real Functions

1988 ◽  
Author(s):  
P. P. Petrushev ◽  
Vasil Atanasov Popov
Keyword(s):  
Rational Approximation ◽  
Real Functions
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