Pausinger, Florian
Florian
Pausinger
Elementary solutions of the Bernstein problem on two intervals
B. Verkin Institute for Low Temperature Physics and Engineering
2012
2019-06-27T08:16:56Z
2020-02-19T07:50:28Z
journal_article
https://research-explorer.app.ist.ac.at/record/6588
https://research-explorer.app.ist.ac.at/record/6588.json
1812-9471
First we note that the best polynomial approximation to vertical bar x vertical bar 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.