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Approximation by Bernstein-Chlodowsky polynomials

2002
In 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 ...
openaire   +2 more sources

Adaptive sparse polynomial chaos expansion based on least angle regression

Journal of Computational Physics, 2011
Géraud Blatman, Bruno Sudret
exaly  

Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion

Reliability Engineering and System Safety, 2012
Sergey Oladyshkin, Wolfgang Nowak
exaly  

Bernstein Polynomial and Béezier-Bernstein Spline

2007
Sambhunath Biswas, Brian C. Lovell
openaire   +1 more source

An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis

Probabilistic Engineering Mechanics, 2010
Géraud Blatman, Bruno Sudret
exaly  

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