Bernstein basis polynomial

English

Named after Template:W (1880–1968), a Russian and Soviet mathematician of Jewish origin.

Template:Lb Any polynomial of the form $b_{i, n} (t) = (\binom{n}{i}) t^{i} (1 - t)^{n - i}$ , being the i^th term of the binomial expansion of $(t + (1 - t))^{n}$ .