Article Dans Une Revue Numerical Algebra, Control and Optimization Année : 2026

The Christoffel function: Applications, connections and extensions

Résumé

We provide an introduction to the Christoffel function (CF), a well-known (and old) tool from the theory of approximation and orthogonal polynomials. We then describe how it provides a simple and easy-to-use tool to address some problems in data analysis and mining, and in approximation and interpolation of discontinuous functions. Finally we also reveal some surpris- ing links of the CF with seemingly different disciplines, including polynomial optimization, positivity certificates, and equilibrium measures of compact sets

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hal-04488686 , version 1 (04-03-2024)

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Jean-Bernard Lasserre. The Christoffel function: Applications, connections and extensions. Numerical Algebra, Control and Optimization, 2026, 16, pp.1-18. ⟨10.3934/naco.2024011⟩. ⟨hal-04488686⟩
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