摘要
本文分别考虑了基于(1-x^2)U_S(x)、(1-x^2)P_n(x)及(1-x^2)P＇_(n-1)(x)零点的一类切触有理插值算子。给出了它们对连续函数的点态逼近估计,改进了文献[1]的主要结果。
In this paper, the osculatory rational interpolatory operatorbased on the zeros of (1 - x^2)U_n (x), (1 - x^2)P_n (x) and (1 - x^2)P'_(n-1) (x) isrespectively considered. The pointwise estimates of approximation for continu-ous functions are given. The main results of reference[1] are improved.
关键词
有理逼近
切触插值
点态逼近
rational approximation
osculatory interpolation
pointwise approximation
moduli of continuity
