The Degree Of Polynomial Approximation And Interpolation Of Analytic Functions

1988 ◽  
Vol 13 (1-2) ◽  
pp. 81-98 ◽  
Author(s):  
M. Freund
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions

scholarly journals Polynomial Approximation of Anisotropic Analytic Functions of Several Variables

2020 ◽  
Author(s):  
Andrea Bonito ◽  
Ronald DeVore ◽  
Diane Guignard ◽  
Peter Jantsch ◽  
Guergana Petrova
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions ◽  
Several Variables

scholarly journals On uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums

2021 ◽  
Vol 16 ◽  
pp. 41
Author(s):  
S.B. Vakarchuk ◽  
M.B. Vakarchuk ◽  
V.I. Zabutna
Keyword(s):  
Finite Number ◽  
Polynomial Approximation ◽  
Analytic Functions ◽  
Function Theory ◽  
Approximation Of Functions ◽  
Constructive Function ◽  
Asymptotic Values ◽  
Uniform Polynomial Approximation ◽  
Polynomial Approximation Of Functions

We show that some of results, obtained by S.N. Bernstein, on constructive function theory, under certain conditions, take place for uniform polynomial approximation of functions that are analytic in finite number of non-intersecting continuums. On the base of obtained results for certain class of analytic functions we calculate asymptotic values of some $n$-widths.

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.

Weighted Polynomial Approximation of Analytic Functions

1988 ◽  
Vol s2-37 (3) ◽  
pp. 455-463 ◽  
Author(s):  
E. B. Saff ◽  
V. Totik
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions ◽  
Weighted Polynomial Approximation

scholarly journals Uniform Polynomial Approximation of Analytic Functions on a Quasidisk

1993 ◽  
Vol 73 (2) ◽  
pp. 136-148 ◽  
Author(s):  
V. Andrievskii
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions ◽  
Uniform Polynomial Approximation

On the Degree of Polynomial Approximation to Analytic Functions: Problem β

1941 ◽  
Vol 49 (2) ◽  
pp. 229
Author(s):  
J. L. Walsh ◽  
W. E. Sewell
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions

scholarly journals On the degree of polynomial approximation to analytic functions: problem $\beta$

1941 ◽  
Vol 49 (2) ◽  
pp. 229-229
Author(s):  
J. L. Walsh ◽  
W. E. Sewell
Keyword(s):  
Polynomial Approximation ◽  
Analytic Functions
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