中山大学学报(自然科学版)(中英文)2017,Vol.56Issue(6):64-67,4.DOI:10.13471/j.cnki.acta.snus.2017.06.009
|x|α的有理插值
On rational interpolation to |x|α
摘要
Abstract
The convergence rate of a Newman-or type rational operator approximating a class of nonsmooth functions is studied,and the exact approximation order of the rational function under the group of trigonometric functions is given.The result is superior to the case when the node group is taken as the first and the second Chebyshev nodes group,the rational interpolation of equidistant nodes group and so on.关键词
有理插值/Newman-α型有理算子/逼近阶Key words
rational interpolation/Newman-α type rational operators/order of approximation分类
数理科学引用本文复制引用
许江海,赵易..|x|α的有理插值[J].中山大学学报(自然科学版)(中英文),2017,56(6):64-67,4.基金项目
国家自然科学基金(11601110) (11601110)