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Bernstein polynomial
Known as:
Bernstein polynomials
, Bezier form
, Bernstein's polynomial theorem
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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 polynomial
Binomial QMF
Bézier curve
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
On Orthonormal Bernstein Polynomial of Order Eight
S. Shihab
,
Tamara N. Naif
2014
Corpus ID: 116496183
In this paper, we present the new orthonormal base 〖OB〗_(i,8),i=0,1,…,8 through the Gram-Schmidt Orthonormalization process on…
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2014
2014
Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Ra\c{s}a
G. Nikolov
2014
Corpus ID: 119731448
2011
2011
Some new properties of Generalized Bernstein polynomials
D. Occorsio
2011
Corpus ID: 14691367
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…
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2007
2007
Complete maps of molecular‐loop conformational spaces
J. M. Porta
,
L. Ros
,
F. Thomas
,
F. Corcho
,
J. Cantó
,
J. J. Pérez
Journal of Computational Chemistry
2007
Corpus ID: 44291830
This paper presents a numerical method to compute all possible conformations of distance‐constrained molecular loops, i.e., loops…
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2001
2001
Adaptive reconstruction of free-form surfaces using Bernstein basis function networks
G. Knopf
,
J. Kofman
2001
Corpus ID: 62638554
1999
1999
A-splines: local interpolation and approximation using Gk-continuous piecewise real algebraic curves
C. Bajaj
,
Guoliang Xu
Computer Aided Geometric Design
1999
Corpus ID: 5018820
1996
1996
Bernstein's Polynomial Inequalities and Functional Analysis
L. Harris
Irish Mathematical Society Bulletin
1996
Corpus ID: 13622481
This expository article shows how classical inequalities for the derivative of polynomials can be proved in real and complex…
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1995
1995
Visualization and computation of curvature behaviour of freeform curves and surfaces
H. Hagen
,
S. Hahmann
,
Thomas Schreiber
Comput. Aided Des.
1995
Corpus ID: 7540190
1991
1991
Note on Bernstein polynomials and Kantorovich polynomials
Xiaochun Wang
Analysis in Theory and Applications
1991
Corpus ID: 118087978
We obtain two asymptotic representations of remainder of approximation of derivable functions by Bernstein polynomials and…
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1976
1976
Division of distributions.
E. Rosinger
1976
Corpus ID: 120516966
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