Runge's Phenomenon - Related Statements From The Approximation Theory

Related Statements From The Approximation Theory

For every predefined table of interpolation nodes there is a continuous function for which the interpolation process on those nodes diverges. For every continuous function there is a table of nodes on which the interpolation process converges. Chebyshev interpolation (i.e., on Chebyshev nodes) converges uniformly for every absolutely continuous function.

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