Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions

2007 ◽  
Vol 59 (8) ◽  
pp. 1163-1183 ◽  
Author(s):  
V. V. Savchuk
Keyword(s):  
Polynomial Approximation ◽  
Best Approximation ◽  
Holomorphic Functions ◽  
Best Polynomial Approximation

scholarly journals Best approximation of holomorphic functions from hardy space in terms of Taylor coefficients

Filomat ◽  
2019 ◽  
Vol 33 (5) ◽  
pp. 1417-1424
Author(s):  
F.G. Abdullayev ◽  
G.A. Abdullayev ◽  
V.V. Savchuk
Keyword(s):  
Hardy Space ◽  
Polynomial Approximation ◽  
Best Approximation ◽  
Holomorphic Functions ◽  
Best Polynomial Approximation ◽  
Taylor Coefficients

We describe the set of holomorphic functions from the Hardy space Hq, 1 ? q ? ?, for which the best polynomial approximation En(f)q is equal to |f (n)(0)|=n!.

scholarly journals Generalized Order and Best Approximation of Entire Function in -Norm

2010 ◽  
Vol 2010 ◽  
pp. 1-15 ◽  
Author(s):  
Mohammed Harfaoui
Keyword(s):  
Entire Function ◽  
Polynomial Approximation ◽  
Best Approximation ◽  
Extremal Function ◽  
Entire Functions ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Best Polynomial Approximation ◽  
Growth Of Entire Functions

The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact with respect to the set , where is the Siciak extremal function of a -regular compact .

Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces

2002 ◽  
Vol 18 (4) ◽  
pp. 551-568 ◽  
Author(s):  
D. H. Kim ◽  
S. H. Kim ◽  
K. H. Kwon ◽  
Xin Li
Keyword(s):  
Polynomial Approximation ◽  
Best Polynomial Approximation
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