A generalization of a theorem of S. N. Bernstein

J. D. Chandler
1977 Proceedings of the American Mathematical Society  
A rational approximation scheme is exhibited for a set A which consists of a finite union of compact subintervals of the real line. This rational approximation scheme provides a characterization of the analytic functions on A which generalizes S. N. Bernstein's characterization of the analytic functions on [-1, 1].
doi:10.1090/s0002-9939-1977-0433086-6 fatcat:duk5u7tcyngk3imtv37pvu2uju