二元Birkhoff插值泛函组适定性问题

journal6 ›› 2008, Vol. 29 ›› Issue (4): 14-17.

二元Birkhoff插值泛函组适定性问题

(辽宁师范大学数学学院，辽宁大连116029)

出版日期:2008-07-25 发布日期:2012-05-21
作者简介:崔利宏(1964-)，男，黑龙江绥滨人，辽宁师范大学数学学院教授，博士研究生，主要从事多元逼近与计算机辅助几何设计研究.

Properly Posed Set of Functionals for Bivariate Birkhoff Interpolation

(School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China)

Online:2008-07-25 Published:2012-05-21

摘要/Abstract

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

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.

Key words: bivariate Birkhoff interpolation, properly posed sets of functionals, plane algebraic curve

崔利宏, 杨爽. 二元Birkhoff插值泛函组适定性问题[J]. journal6, 2008, 29(4): 14-17.

CUI Li-Hong, YANG Shuang. Properly Posed Set of Functionals for Bivariate Birkhoff Interpolation[J]. journal6, 2008, 29(4): 14-17.