Bernstein polynomial

Known as: Bernstein polynomials, Bezier form, Bernstein's polynomial theorem 
In the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein… (More)
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Papers overview

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Review
2012
Review
2012
One hundred years after the introduction of the Bernstein polynomial basis, we survey the historical development and current… (More)
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2009
2009
In this article we want to determinate a recursive formula for Bernstein polynomials associated to the functions ep(x) = xp, p… (More)
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Highly Cited
2008
Highly Cited
2008
As integrated circuit technology plumbs ever greater depths in the scaling of feature sizes, maintaining the paradigm of… (More)
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2008
2008
Three division algorithms are presented for univariate Bernstein polynomials: an algorithm for finding the quotient and remainder… (More)
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2004
2004
When learning processes depend on samples but not on the order of the information in the sample, then the Bernoulli distribution… (More)
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2003
2003
In paper [4], transformation matrices mapping the Legendre and Bernstein forms of a polynomial of degree n into each other are… (More)
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Highly Cited
1996
Highly Cited
1996
We show that the Bernstein polynomial basis on a given interval is “optimally stable,” in the sense that no other nonnegative… (More)
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1996
1996
This expository article shows how classical inequalities for the derivative of polynomials can be proved in real and complex… (More)
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1993
1993
A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation in the magnitude square domain is… (More)
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Highly Cited
1987
Highly Cited
1987
The Bernstein-Brzier curve and surface forms have enjoyed considerable populari ty in computer aided design applications, due to… (More)
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