---
_id: '6588'
abstract:
- lang: eng
text: 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.
article_processing_charge: No
article_type: original
author:
- first_name: Florian
full_name: Pausinger, Florian
id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
last_name: Pausinger
citation:
ama: Pausinger F. Elementary solutions of the Bernstein problem on two intervals.
*Journal of Mathematical Physics, Analysis, Geometry*. 2012;8(1):63-78.
apa: Pausinger, F. (2012). Elementary solutions of the Bernstein problem on two
intervals. *Journal of Mathematical Physics, Analysis, Geometry*, *8*(1),
63–78.
chicago: 'Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on
Two Intervals.” *Journal of Mathematical Physics, Analysis, Geometry* 8,
no. 1 (2012): 63–78.'
ieee: F. Pausinger, “Elementary solutions of the Bernstein problem on two intervals,”
*Journal of Mathematical Physics, Analysis, Geometry*, vol. 8, no. 1, pp.
63–78, 2012.
ista: Pausinger F. 2012. Elementary solutions of the Bernstein problem on two intervals.
Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78.
mla: 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.
short: F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012)
63–78.
date_created: 2019-06-27T08:16:56Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2020-02-19T07:50:28Z
day: '01'
department:
- _id: HeEd
external_id:
isi:
- '000301173600004'
intvolume: ' 8'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://mi.mathnet.ru/eng/jmag525
month: '01'
oa: 1
oa_version: Published Version
page: 63-78
publication: Journal of Mathematical Physics, Analysis, Geometry
publication_identifier:
issn:
- 1812-9471
publication_status: published
publisher: B. Verkin Institute for Low Temperature Physics and Engineering
quality_controlled: '1'
status: public
title: Elementary solutions of the Bernstein problem on two intervals
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2012'
...