Uniform Approximation by Polynomials with Integer Coefficients via the Bernstein Lattice

C. Sinan Güntürk, Weilin Li

Let ${\mathcal{C}}_{\mathbb{Z}}([0,1])$ be the metric space of real-valued continuous functions on $[0,1]$ with integer values at $0$ and $1$, equipped with the uniform (supremum) metr…