Approximation by Rational Functions on Doubly Connected Domains in Weighted Generalized Grand Smirnov Classes

2021 ◽  
Author(s):  
A. Testici
Keyword(s):  
Rational Functions ◽  
Smirnov Classes ◽  
Approximation By Rational Functions

scholarly journals Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes

2021 ◽  
Vol 73 (7) ◽  
pp. 964-978
Author(s):  
A. Testici
Keyword(s):  
Connected Domain ◽  
Analytic Functions ◽  
Rational Functions ◽  
Modulus Of Smoothness ◽  
Approximation Properties ◽  
Doubly Connected Domain ◽  
Smirnov Classes ◽  
Approximation By Rational Functions

UDC 517.5 Let be a doubly connected domain bounded by two rectifiable Carleson curves. In this work, we use the higher modulus of smoothness in order to investigate the approximation properties of -Faber–Laurent rational functions in the subclass of weighted generalized grand Smirnov classes of analytic functions.

Approximation by Rational Functions

1977 ◽  
Vol s2-15 (2) ◽  
pp. 319-328 ◽  
Author(s):  
P. Erdős ◽  
D. J. Newman ◽  
A. R. Reddy
Keyword(s):  
Rational Functions ◽  
Approximation By Rational Functions
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