[{"oa":1,"main_file_link":[{"url":"http://mi.mathnet.ru/eng/jmag525","open_access":"1"}],"intvolume":" 8","isi":1,"dc":{"type":["info:eu-repo/semantics/article","doc-type:article","text"],"rights":["info:eu-repo/semantics/openAccess"],"creator":["Pausinger, Florian"],"source":["Pausinger F. Elementary solutions of the Bernstein problem on two intervals. *Journal of Mathematical Physics, Analysis, Geometry*. 2012;8(1):63-78."],"date":["2012"],"relation":["info:eu-repo/semantics/altIdentifier/issn/1812-9471","info:eu-repo/semantics/altIdentifier/wos/000301173600004"],"description":["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."],"publisher":["B. Verkin Institute for Low Temperature Physics and Engineering"],"title":["Elementary solutions of the Bernstein problem on two intervals"],"identifier":["https://research-explorer.app.ist.ac.at/record/6588"],"language":["eng"]},"article_type":"original","creator":{"id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","login":"kschuh"},"page":"63-78","uri_base":"https://research-explorer.app.ist.ac.at","quality_controlled":"1","day":"01","author":[{"last_name":"Pausinger","first_name":"Florian","id":"2A77D7A2-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","status":"public","date_updated":"2020-02-19T07:50:28Z","publication_identifier":{"issn":[]},"volume":8,"article_processing_charge":"No","month":"01","language":[{}],"abstract":[{"lang":"eng"}],"_id":"6588","oa_version":"Published Version","dini_type":"doc-type:article","_version":7,"publication":"Journal of Mathematical Physics, Analysis, Geometry","date_published":"2012-01-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2019-06-27T08:16:56Z","external_id":{"isi":[]},"department":[{"_id":"HeEd","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"issue":"1","citation":{"apa":"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.","chicago":"Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.” *Journal of Mathematical Physics, Analysis, Geometry* 8, no. 1 (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.","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."},"type":"journal_article"}]