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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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Adaptive sparse polynomial chaos expansion based on least angle regression
Journal of Computational Physics, 2011Géraud Blatman, Bruno Sudret
exaly
Two-dimensional Bernstein polynomial density estimators
, 1994Axel Tenbusch
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Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion
Reliability Engineering and System Safety, 2012Sergey Oladyshkin, Wolfgang Nowak
exaly
Bernstein Polynomial and Béezier-Bernstein Spline
2007Sambhunath Biswas, Brian C. Lovell
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On the stability of transformations between power and Bernstein polynomial forms
Computer Aided Geometric Design, 1991R. Farouki
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