[{"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"}],"author":[{"first_name":"Florian","full_name":"Pausinger, Florian","last_name":"Pausinger","id":"2A77D7A2-F248-11E8-B48F-1D18A9856A87"}],"language":[{"iso":"eng"}],"type":"journal_article","oa_version":"Published Version","year":"2012","publisher":"B. Verkin Institute for Low Temperature Physics and Engineering","page":"63-78","status":"public","day":"01","main_file_link":[{"open_access":"1","url":"http://mi.mathnet.ru/eng/jmag525"}],"date_published":"2012-01-01T00:00:00Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa":1,"_id":"6588","date_updated":"2019-08-02T12:39:23Z","publication_identifier":{"issn":["1812-9471"]},"month":"01","department":[{"_id":"HeEd"}],"volume":8,"publication_status":"published","quality_controlled":"1","external_id":{"isi":["000301173600004"]},"publication":"Journal of Mathematical Physics, Analysis, Geometry","issue":"1","isi":1,"title":"Elementary solutions of the bernstein problem on two intervals","intvolume":" 8","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.","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.","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.","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."},"date_created":"2019-06-27T08:16:56Z"}]