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二元Birkhoff插值泛函组适定性问题
引用本文:崔利宏,杨爽.二元Birkhoff插值泛函组适定性问题[J].吉首大学学报(自然科学版),2008,29(4):14-17.
作者姓名:崔利宏  杨爽
作者单位:辽宁师范大学数学学院,辽宁,大连,116029;辽宁师范大学数学学院,辽宁,大连,116029
摘    要:主要研究了二元Birkhoff插值泛函组适定性问题.在过去已得到的构造适定二元切触插值泛函组的基础上,给出了构造二元Birkhoff插值适定泛函组的一种新的构造方法--添加平面代数曲线法.该方法是通过迭加过程来实现的.

关 键 词:二元Birkhoff插值  适定泛函组  平面代数曲线

Properly Posed Set of Functionals for Bivariate Birkhoff Interpolation
CUI Li-hong,YANG Shuang.Properly Posed Set of Functionals for Bivariate Birkhoff Interpolation[J].Journal of Jishou University(Natural Science Edition),2008,29(4):14-17.
Authors:CUI Li-hong  YANG Shuang
Institution:(School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China)
Abstract:This paper mainly deals with the properly posed set of functionals for bivariate Birkhoff interpolation.By means of the theory and method of constructing the properly posed set of functionals for bivariate osculatory interpolation,the paper gives a new constructive method of properly posed sets of functionals in bivariate Birkhoff interpolation:plane algebraic curve superpositon process.Which is realized by superimposition.
Keywords:bivariate Birkhoff interpolation  properly posed sets of functionals  plane algebraic curve
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