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.

This article is issued from Wikipedia - version of the 3/14/2013. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.