Description |
Karl Wierstrass showed that given a continuous function f on [0, 1] and an epsilon positive there is a polynomial p such that it is uniformly epsilon close to f on [0, 1]. In this talk we give a proof of this using coin tossing. We then generalize this to the case of simplexes and hyper cubes. We also discuss approximation by C infinity functions using Gauss kernels. |