{"date_updated":"2021-01-12T08:08:05Z","language":[{"iso":"eng"}],"isi":1,"type":"journal_article","article_processing_charge":"No","title":"Elementary solutions of the Bernstein problem on two intervals","day":"01","oa":1,"publication":"Journal of Mathematical Physics, Analysis, Geometry","publication_identifier":{"issn":["1812-9471"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 8","external_id":{"isi":["000301173600004"]},"scopus_import":1,"oa_version":"Published Version","month":"01","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."}],"author":[{"first_name":"Florian","last_name":"Pausinger","full_name":"Pausinger, Florian","orcid":"0000-0002-8379-3768","id":"2A77D7A2-F248-11E8-B48F-1D18A9856A87"}],"citation":{"short":"F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012) 63–78.","chicago":"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.","ieee":"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.","apa":"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.","ama":"Pausinger F. Elementary solutions of the Bernstein problem on two intervals. *Journal of Mathematical Physics, Analysis, Geometry*. 2012;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.","ista":"Pausinger F. 2012. Elementary solutions of the Bernstein problem on two intervals. Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78."},"article_type":"original","date_created":"2019-06-27T08:16:56Z","quality_controlled":"1","publication_status":"published","date_published":"2012-01-01T00:00:00Z","publisher":"B. Verkin Institute for Low Temperature Physics and Engineering","page":"63-78","year":"2012","_id":"6588","status":"public","volume":8,"department":[{"_id":"HeEd"}],"main_file_link":[{"open_access":"1","url":"http://mi.mathnet.ru/eng/jmag525"}],"issue":"1"}