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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… 
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Related topics

Related topics

18 relations
Basis (linear algebra)Bernstein–Sato polynomialBinomial QMFBézier curve

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
On Orthonormal Bernstein Polynomial of Order Eight
In this paper, we present the new orthonormal base 〖OB〗_(i,8),i=0,1,…,8 through the Gram-Schmidt Orthonormalization process on… 
2014
2014
Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Ra\c{s}a
2011
2011
Some new properties of Generalized Bernstein polynomials
Let Bm(f) be the Bernstein polynomial of degree m. The generalized Bernstein polynomials Bm,�(f,x) = 1 X i=1 ( 1) i+1 � i ! B i(f… 
2007
2007
Complete maps of molecular‐loop conformational spaces
This paper presents a numerical method to compute all possible conformations of distance‐constrained molecular loops, i.e., loops… 
2001
2001
Adaptive reconstruction of free-form surfaces using Bernstein basis function networks
1999
1999
A-splines: local interpolation and approximation using Gk-continuous piecewise real algebraic curves
1996
1996
Bernstein's Polynomial Inequalities and Functional Analysis
This expository article shows how classical inequalities for the derivative of polynomials can be proved in real and complex… 
1995
1995
Visualization and computation of curvature behaviour of freeform curves and surfaces
1991
1991
Note on Bernstein polynomials and Kantorovich polynomials
We obtain two asymptotic representations of remainder of approximation of derivable functions by Bernstein polynomials and… 
1976
1976
Division of distributions.
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