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test_lebesgue.m File Reference

this is a script showing the ei_detailed construction for a function which empirically interpolated turns out to have the worst possible Lebesgue constant \(\Lambda = \max_{x} \sum_{m=1}^M |\xi_m(x)| = 2^M - 1\) More...

Go to the source code of this file.

Functions

function OK = test_lebesgue ()
 this is a script showing the ei_detailed construction for a function which empirically interpolated turns out to have the worst possible Lebesgue constant \(\Lambda = \max_{x} \sum_{m=1}^M |\xi_m(x)| = 2^M - 1\)
 

Detailed Description

this is a script showing the ei_detailed construction for a function which empirically interpolated turns out to have the worst possible Lebesgue constant \(\Lambda = \max_{x} \sum_{m=1}^M |\xi_m(x)| = 2^M - 1\)

Definition in file test_lebesgue.m.

Function Documentation

function OK = test_lebesgue ( )

this is a script showing the ei_detailed construction for a function which empirically interpolated turns out to have the worst possible Lebesgue constant \(\Lambda = \max_{x} \sum_{m=1}^M |\xi_m(x)| = 2^M - 1\)

Return values
OKboolean indicating wether test was successful

Definition at line 17 of file test_lebesgue.m.