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