TY  - JOUR
CY  - Springfield, MO, USA
ID  - publications50348
UR  - http://tse-fr.eu/pub/130273
A1  - Lasserre, Jean-Bernard
Y1  - 2024/03//
N2  - 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 surprising links of the CF with seemingly different disciplines, including polynomial optimization, positivity certificates, and equilibrium measures of compact sets.
PB  - American Institute of Mathematical Sciences
JF  - Numerical Algebra, Control and Optimization
SN  - 2155-3289
TI  - The Christoffel function: Applications, connections and extensions
AV  - none
ER  -