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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… 
2008
2008
Weighted dual functions for Bernstein basis satisfying boundary constraints
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… 
2004
2004
Global Optimization with Higher Order Inclusion Function Forms Part 1: A Combined Taylor-Bernstein Form
Recently, two versions of the so-called Taylor-Bernstein (TB) form having the property of higher order convergence were proposed… 
2003
2003
Multi-node higher order expansions of a function
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… 
1996
1996
On the stability of polynomial transformations between Taylor, Bernstein and Hermite forms
The stability of transformations between Taylor and Hermite and Bernstein and Hermite forms of the polynomials are investigated… 
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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