Rational Interpolation to|x|at the Dense Chebyshev Nodes
This article constructs a new nodes based on the Chebyshev nodes,studies the rational interpolation of|x|at the new nodes,and uses the scaling method to obtain an exact approximation order that is O(1/n2logn).By numerically calculating and analyzing the errors of|x|in several node groups,the essence of rational interpolation of|x|is revealed.
dense Chebyshev nodesadjusted Chebyshev nodesrational interpolationNewman-type rational operatorsorder of ap-proximation
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