scholarly journals The Average Errors for the Grünwald Interpolation in the Wiener Space

2009 ◽  
Vol 2009 ◽  
pp. 1-12
Author(s):  
Yingfang Du ◽  
Huajie Zhao
Keyword(s):  
Polynomial Approximation ◽  
Wiener Space ◽  
Average Error ◽  
Best Polynomial Approximation ◽  
Approximation Sequence ◽  
Norm Approximation

We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Tchebycheff nodes in the Wiener space. By these results we know that for the -norm approximation, the -average error of some Grünwald interpolation sequences is weakly equivalent to the -average errors of the best polynomial approximation sequence.

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

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 .

scholarly journals The best polynomial approximations of some classes of analytic functions in the Hardy spaces

2018 ◽  
Vol 26 (1) ◽  
pp. 8 ◽  
Author(s):  
S.B. Vakarchuk ◽  
V.I. Zabutna ◽  
M.B. Vakarchuk
Keyword(s):  
Polynomial Approximation ◽  
Hardy Spaces ◽  
Analytic Functions ◽  
Best Polynomial Approximation ◽  
Polynomial Approximations ◽  
Methods Of Approximation

Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$m\in \mathbb{Z}_+$$$, $$$R \geqslant 1$$$, $$$1 \leqslant p \leqslant \infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.

Sign in / Sign up

Export Citation Format

Share Document