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ON THE ORDER OF APPROXIMATION FOR THE RATIONAL INTERPOLATION TO |x|

查看全文 作  者:Han Xuli(Central South University, China) 高影响力作者 出  处:《Approximation Theory and Its Applications》索引2002年第18卷第2期,共7页高影响力期刊 摘  要:The order of approximation for Newman-type rational interpolation to |x| is studied in this paper.For general set of nodes, the extremum of approximation error and the order of the best uniform approximation are estimated. The result illustrates the general quality of approximation in a different way. For the special case where the interpolation nodes are xi=(i/n)r(i=1,2, … ,n;r>0), it is proved that the exact order of approximation is O(1/n), O(1/nlogn) and O(1/nr), respectively, corresponding to 01. 关 键 词:Newman型有理插值 绝对值 逼近误差 节点 极值
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