Results 151 to 160 of about 1,343 (179)
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Multivariate Bernstein polynomials and convexity
Computer Aided Geometric Design, 1991Many properties of a univariate convex function are known to be associated with those of the Bernstein polynomials of the same function. Yet, this often doesn't hold for multivariate functions. The author presents two new conceptions of convexity. One of them is the axial convexity, which is close to the classical definition and suggests a function's ...
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On Two-Dimensional Bernstein Polynomials
Canadian Journal of Mathematics, 1953Let the function of two real variablesf(x, y) be given over the ...
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A Bernstein Polynomial Approach to Estimating Reachable Set of Periodic Piecewise Polynomial Systems
IEEE Transactions on Automatic Control, 2021Xiaochen Xie +2 more
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Approximation by Bernstein-Chlodowsky polynomials
2002In the paper the weighted approximation of continuous functions by Bernstein-Chlodowsky polynomials and their generalizations are presented. The Bernstein-Chlodowsky polynomials are defined by \[ (B_n f)(x)= \sum^n_{k=0} f\Biggl({k\over n} b_n\Biggr){n\choose k} \Biggl({x\over b_n}\Biggr)^k\Biggl(1- {x\over b_n}\Biggr)^{n-k},\tag{1} \] where \(0\leq x ...
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The Bernstein polynomial basis: A centennial retrospective
Computer Aided Geometric Design, 2012Rida T Farouki
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On improving convergence rate of Bernstein polynomial density estimator
Journal of Nonparametric Statistics, 2014Yoshihide Kakizawa
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Accurate evaluation of a polynomial and its derivative in Bernstein form
Computers and Mathematics With Applications, 2010Hao Jiang, Lizhi Cheng
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Evaluation of the derivative of a polynomial in Bernstein form
Applied Mathematics and Computation, 2005Roberto Barrio, J M Pena
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