Supplement to the Mergelyan Theorem on the Denseness of Algebraic Polynomials in the Space $C_w^0$

  • A. G. Bakan

Abstract

We give a supplement to the theorem on the denseness of polynomials in the space $C_w^0$ established by Mergelyan in 1956 for the case where algebraic polynomials are dense in $C_w^0$. In the case indicated, we give a complete description of all functions that can be approximated by algebraic polynomials in seminorm.
Published
25.07.2005
How to Cite
BakanA. G. “Supplement to the Mergelyan Theorem on the Denseness of Algebraic Polynomials in the Space $C_w^0$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 7, July 2005, pp. 867–878, https://umj.imath.kiev.ua/index.php/umj/article/view/3649.
Section
Research articles