lebesgue_test

lebesgue_test, an Octave code which calls lebesgue(), which plots the Lebesgue function, and estimates the Lebesgue constant, which measures the maximum magnitude of the potential error of Lagrange polynomial interpolation.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

lebesgue, an Octave code which is given a set of nodes in 1D, and plots the Lebesgue function, and estimates the Lebesgue constant, which measures the maximum magnitude of the potential error of Lagrange polynomial interpolation.

Source Code:

lebesgue_test.m, calls all the tests;
lebesgue_test.sh, runs all the tests;
lebesgue_test.txt, the output file.

lebesgue_chebyshev1_test.m, examines point sets computed by chebyshev1().
lebesgue_chebyshev2_test.m, examines point sets computed by chebyshev2().
lebesgue_chebyshev3_test.m, examines point sets computed by chebyshev3().
lebesgue_chebyshev4_test.m, examines point sets computed by chebyshev4().
lebesgue_equidistant1_test.m, examines point sets computed by equidistant1().
lebesgue_equidistant2_test.m, examines point sets computed by equidistant2().
lebesgue_equidistant3_test.m, examines point sets computed by equidistant3().
lebesgue_test08.m, examines point sets computed by fejer1().
lebesgue_test09.m, examines point sets computed by fejer2().

The test programs create plots of the Lebesgue function for specific sizes of the point sets.

Last revised on 05 June 2023.