# Elementary solutions of the Bernstein problem on two intervals

F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012) 63–78.

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Abstract

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.

Publishing Year

Date Published

2012-01-01

Journal Title

Journal of Mathematical Physics, Analysis, Geometry

Volume

8

Issue

1

Page

63-78

ISSN

IST-REx-ID

### Cite this

Pausinger F. Elementary solutions of the Bernstein problem on two intervals.

*Journal of Mathematical Physics, Analysis, Geometry*. 2012;8(1):63-78.Pausinger, F. (2012). Elementary solutions of the Bernstein problem on two intervals.

*Journal of Mathematical Physics, Analysis, Geometry*. B. Verkin Institute for Low Temperature Physics and Engineering.Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.”

*Journal of Mathematical Physics, Analysis, Geometry*. B. Verkin Institute for Low Temperature Physics and Engineering, 2012.F. Pausinger, “Elementary solutions of the Bernstein problem on two intervals,”

*Journal of Mathematical Physics, Analysis, Geometry*, vol. 8, no. 1. B. Verkin Institute for Low Temperature Physics and Engineering, pp. 63–78, 2012.Pausinger F. 2012. Elementary solutions of the Bernstein problem on two intervals. Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78.

Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.”

*Journal of Mathematical Physics, Analysis, Geometry*, vol. 8, no. 1, B. Verkin Institute for Low Temperature Physics and Engineering, 2012, pp. 63–78.**All files available under the following license(s):**

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