BernsteinBasis[d,n,x]
represents the n Bernstein basis function of degree d at x.


BernsteinBasis
BernsteinBasis[d,n,x]
represents the n 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.
See Also
BezierFunction BezierCurve BSplineBasis Interpolation Piecewise
Function Repository: BezierInterpolatingControlPoints
Related Guides
-
▪
- Splines
History
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: 08-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: 08-August-2025]}