Lebesgue constant

Lebesgue constant

Two kinds of constants are usually called Lebesgue constants (after Henri Lebesgue):
* In the process of interpolation, the Lebesgue constants (with respect to a set of nodes) measure the precision of the polynomial interpolation at those nodes in regard with the best polynomial approximation.
* In approximation theory, the Lebesgue constants are related to Fourier series.

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