Elementary solutions of the Bernstein problem on two intervals Pausinger, Florian ; https://orcid.org/0000-0002-8379-3768 ddc:500 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 Engineering 2012 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/6588 Pausinger F. Elementary solutions of the Bernstein problem on two intervals. <i>Journal of Mathematical Physics, Analysis, Geometry</i>. 2012;8(1):63-78. eng info:eu-repo/semantics/altIdentifier/issn/1812-9471 info:eu-repo/semantics/altIdentifier/wos/000301173600004 info:eu-repo/semantics/openAccess