The asymptotic property of approximation to |x| is *** is proved that,if increase nodes near zero,the order of approximation for the Newman-type rational interpolation to |x| at the second kind of Chebyshev nodes is O...
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The asymptotic property of approximation to |x| is *** is proved that,if increase nodes near zero,the order of approximation for the Newman-type rational interpolation to |x| at the second kind of Chebyshev nodes is O(1/(n~2logn)).And get a very important conclusion:increases nodes in the near zero can improve the approximation order of the original.
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