Semi-algebraic Approximation Using Christoffel–Darboux Kernel

We provide a new method to approximate a (possibly discontinuous) function using Christoffel–Darboux kernels. Our knowledge about the unknown multivariate function is in terms of finitely many moments of the Young measure supported on the graph of the function. Such an input is available when approx...

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Veröffentlicht in:	Constructive approximation 2021-12, Vol.54 (3), p.391-429
Hauptverfasser:	Marx, Swann, Pauwels, Edouard, Weisser, Tillmann, Henrion, Didier, Lasserre, Jean Bernard
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Approximation Convergence Evaluation Gibbs phenomenon Kernels Mathematics Mathematics and Statistics Numerical Analysis Numerical integration Optimal control Optimization and Control Polynomials
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