Polynomial approximation on a compact subset of the real line (Q1749034)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial approximation on a compact subset of the real line |
scientific article |
Statements
Polynomial approximation on a compact subset of the real line (English)
0 references
15 May 2018
0 references
An analogue of the classical Bernstein theorem is proved. This theorem concerns the rate of polynomial approximation of piecewise analytic functions on a compact subset of the real line. A general set in the complex plane is considered also. The notions of potential theory in the plane are used. Three lemmas and one theorem are proved.
0 references
polynomial approximation
0 references
rate of approximation
0 references
Green's function
0 references
piecewise analytic function
0 references
Bernstein theorem
0 references
compact subset of the real line
0 references
0 references
