article published yes Florian Pausinger author 2A77D7A2-F248-11E8-B48F-1D18A9856A870000-0002-8379-3768 HeEd department 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. B. Verkin Institute for Low Temperature Physics and Engineering2012 eng 1812-9471 000301173600004 8163-78 Pausinger F. 2012. Elementary solutions of the Bernstein problem on two intervals. Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78. 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. Pausinger F. Elementary solutions of the Bernstein problem on two intervals. <i>Journal of Mathematical Physics, Analysis, Geometry</i>. 2012;8(1):63-78. 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. 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. 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. F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012) 63–78. 65882019-06-27T08:16:56Z2026-06-18T19:08:51Z