摘要
本文研究了[1]中引入的有理插值算子在以第二类切比晓夫多项式的零点作为插值结点时;对函数f(x)的点态收敛性,f(x)∈ C(■,1)。给出了点态收敛阶的上界估计式,并验证了所得结果是不可改进的。
The main result of this peper is to investigate the pointwiseconvergence property of the rational interpolatory operator introducedin[1]for continuous functions on(-1,1),where the operator inter—polates at the zeroes of the second chebyshev polynomaial FurthermoreWe have obtained the upper bound rate for piontwise convergence ofthis operator and verified that the rate cannot be improved
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1989年第1期1-6,共6页
Journal of Henan Normal University(Natural Science Edition)
关键词
有理插值算子
点态收敛
逼近阶
Rational
interpolator/operator
Pointwise
Convergence
Module of continuty
