忽略一点导数值的Hermite－Fejr插值算子  

Hermite-Fejr Interpolatory Operator Omitting a Derivative

作　　者：闵国华[1] 苏雪琴[1] 

机构地区：[1]南京理工大学理学院,南京理工大学学报编辑部

出　　处：《南京理工大学学报》1995年第3期275-278,共4页Journal of Nanjing University of Science and Technology

摘　　要：该文考虑了Ｔｕｒａｎ提出的忽略一点导数值的Ｈｅｒｍｉｔｅ－Ｆｅｊéｒ插值的一致逼近问题。指出了Ｋｕｍａｒ等人所得结果是错误的，并修正了他们的结果。对于取（１－Ｘ２）Ｐｎ－１’（ｘ）（（Ｐｎ－１（ｘ）为ｎ－１次Ｌｅｇｅｎｄｒｅ多项式）的零点为节点的Ｔｕｒａｎ问题，该文得到了类似于原Ｔｕｒａｎ所得的结果。The uniform approximation of Hermite-Fejer interpolation omitting a derivative is considered.It is shown that the main results of Kumar and Mathur are wrong andtheir results are revised. Moreover,it is shown that the Hermite-Fejer interpolatory opera-tor omitting a derivative based on the zeros of (1-x2 )P(n-1)'(x)(where P(n-1)(x) is the n-1-th Legendre polynomial) has the property which is similar to that of the modified Hermite-Fejer interpolation suggested by P. Turan。

关 键 词：一致逼近 H-F插值 导数 算子 TURAN问题 

分 类 号：O174.41[理学—数学]