Abstract
First we note that the best polynomial approximation to |x| on the set, which consists of an interval on the positive half-axis and a point on the negative half-axis, can be given by means of the classical Chebyshev polynomials. Then we explore the cases when a solution of the related problem on two intervals can be given in elementary functions.
| Original language | English |
|---|---|
| Pages (from-to) | 63-78 |
| Number of pages | 16 |
| Journal | Journal of Mathematical Physics, Analysis, Geometry |
| Volume | 8 |
| Issue number | 1 |
| Publication status | Published - 2012 |
| Externally published | Yes |
Keywords
- Bernstein problem
- Chebyshev polynomials
- Polynomial approximation of |x|
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Mathematical Physics
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