Applications of Nachbin's Theorem concerning Dense Subalgebras of Differentiable Functions

Abstract

In this paper, we give some applications of Nachbin's Theorem to approximation and interpolation in the the space of all k times continuously differentiable real functions on any open subset of the Euclidean space.

Keywords

• Nachbin's theorem
• approximation of differentiable functions
• Stone-Weierstrass theorem