The Weierstrass approximation theorem (Georgia Tech handout)

Online text: loss.math.gatech.edu/16FALLTEA/NOTES/weierstrassbernstein.pdf

Cited passages: The Weierstrass approximation theorem, Lemmas 0.1–0.2 and Theorem 0.3, printed pp. 1–2: weights, binomial moments and polynomial construction; The Weierstrass approximation theorem, Theorem 0.3, printed p. 2: uniform polynomial approximation on the unit interval.