Bernstein polynomials of degree n are B_{k,n}(x) = C(n,k) x^k (1 − x)^{n-k} for 0 ≤ k ≤ n, forming a partition of unity (Σ_k B_{k,n} ≡ 1) on [0, 1] — algebraically a trinomial identity (x + (1 − x))^n = 1. Bernstein 1912's constructive…
Bernstein polynomials of degree n are B_{k,n}(x) = C(n,k) x^k (1 − x)^{n-k} for 0 ≤ k ≤ n, forming a partition of unity (Σ_k B_{k,n} ≡ 1) on [0, 1] — algebraically a trinomial identity (x + (1 − x))^n = 1. Bernstein 1912's constructive…