---
_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.
acknowledgement: "This work is supported by the Austrian Science Fund (FWF), Project
  P22025-N18.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Florian
  full_name: Pausinger, Florian
  id: 2A77D7A2-F248-11E8-B48F-1D18A9856A87
  last_name: Pausinger
  orcid: 0000-0002-8379-3768
citation:
  ama: Pausinger F. Elementary solutions of the Bernstein problem on two intervals.
    <i>Journal of Mathematical Physics, Analysis, Geometry</i>. 2012;8(1):63-78.
  apa: Pausinger, F. (2012). Elementary solutions of the Bernstein problem on two
    intervals. <i>Journal of Mathematical Physics, Analysis, Geometry</i>. B. Verkin
    Institute for Low Temperature Physics and Engineering.
  chicago: Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two
    Intervals.” <i>Journal of Mathematical Physics, Analysis, Geometry</i>. B. Verkin
    Institute for Low Temperature Physics and Engineering, 2012.
  ieee: F. Pausinger, “Elementary solutions of the Bernstein problem on two intervals,”
    <i>Journal of Mathematical Physics, Analysis, Geometry</i>, vol. 8, no. 1. B.
    Verkin Institute for Low Temperature Physics and Engineering, 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.”
    <i>Journal of Mathematical Physics, Analysis, Geometry</i>, 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: 2023-10-16T09:41:31Z
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'
scopus_import: '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'
...