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BernsteinBasis[d,n,x]

represents the n^(th) Bernstein basis function of degree d at x.

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BernsteinBasis

BernsteinBasis[d,n,x]

represents the n^(th) Bernstein basis function of degree d at x.

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • BernsteinBasis is defined for real argument x.
  • BernsteinBasis[d,n,x] equals between and and zero elsewhere.

Examples

Basic Examples  (3)

Evaluate a Bernstein basis polynomial numerically:

The first few polynomials:

Expand into piecewise functions:

Wolfram Research (2008), BernsteinBasis, Wolfram Language function, https://reference.wolfram.com/language/ref/BernsteinBasis.html.

Text

Wolfram Research (2008), BernsteinBasis, Wolfram Language function, https://reference.wolfram.com/language/ref/BernsteinBasis.html.

CMS

Wolfram Language. 2008. "BernsteinBasis." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BernsteinBasis.html.

APA

Wolfram Language. (2008). BernsteinBasis. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BernsteinBasis.html

BibTeX

@misc{reference.wolfram_2025_bernsteinbasis, author="Wolfram Research", title="{BernsteinBasis}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/BernsteinBasis.html}", note=[Accessed: 28-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_bernsteinbasis, organization={Wolfram Research}, title={BernsteinBasis}, year={2008}, url={https://reference.wolfram.com/language/ref/BernsteinBasis.html}, note=[Accessed: 28-August-2025]}