Bernstein basis polynomial

noun

Any polynomial of the form b_i,n(t)=n choose itⁱ(1-t)ⁿ⁻ⁱ!!, being the iᵗʰ term of the binomial expansion of (t+(1-t))ⁿ!.

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Meanings

nounBernstein basis polynomial (plural Bernstein basis polynomials)

plural Bernstein basis polynomials

  1. numerical analysismathematical analysisAny polynomial of the form b_i,n(t)=n choose itⁱ(1-t)ⁿ⁻ⁱ!!, being the iᵗʰ term of the binomial expansion of (t+(1-t))ⁿ!.

Origin

Named after Sergei Natanovich Bernstein (1880–1968), a Russian and Soviet mathematician of Jewish origin.

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Cite this entry
APA

Bernstein basis polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Bernstein%20basis%20polynomial

MLA

“Bernstein basis polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Bernstein%20basis%20polynomial. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Bernstein basis polynomial,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Bernstein%20basis%20polynomial.

Source: Bernstein basis polynomial on Wiktionary, CC BY-SA 4.0.