Weierstrassʹ Theorem in Weighted Sobolev Spaces Original Research Article

We characterize the set of functions which can be approximated by polynomials with the following norm‖f‖Wk, ∞([a, b], w)≔∑j=0k ‖f(j)‖L∞([a, b], wj),for a big class of weights w0, w1, …, wk