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复平面上一类有理插值函数的一致逼近阶
引用本文:朱长青.复平面上一类有理插值函数的一致逼近阶[J].河南科学,1993,11(1):9-14.
作者姓名:朱长青
作者单位:郑州测绘学院 郑州
摘    要:设f(z)在|z|=1上连续,本文利用插值逼近方法,研究了复平面上的一类有理插值函数,得到了其在|z|=1上一致收敛于f(z)的逼近阶

关 键 词:有理函数  插值  一致逼近阶  复平面

ON THE ORDER OF UNIFORMLY APPROXIMATION BY A KIND OF RATIONAL INTERPOLATING FUNCTION IN THE COMPLEX PLANE
Zhu Changqing Zhengzhou Surveying and Mapping Institute,Zhengzhou.ON THE ORDER OF UNIFORMLY APPROXIMATION BY A KIND OF RATIONAL INTERPOLATING FUNCTION IN THE COMPLEX PLANE[J].Henan Science,1993,11(1):9-14.
Authors:Zhu Changqing Zhengzhou Surveying and Mapping Institute  Zhengzhou
Institution:Zhu Changqing Zhengzhou Surveying and Mapping Institute,Zhengzhou 450052
Abstract:Let f(z) be continous on |z|=1. With the methods of interpolating approximation, this paper studied a kind of rational interpolating function in the complex plane and ob- tained the order that the function converges to f(z) in the sense of uniformly convergence.
Keywords:Rational function  Interpolation  Uniformly approximation order
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