| 关于二元Hermite插值问题的某些研究 |
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| 引用本文： | 崔利宏,张志辉,李纬国.关于二元Hermite插值问题的某些研究[J].辽宁师范大学学报(自然科学版),2012,35(2):145-149. |
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| 作者姓名： | 崔利宏 张志辉 李纬国 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连,116029 |
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| 摘 要： | 主要研究在R2中的二元Hermite插值问题.提出了沿平面代数曲线的Hermite插值适定泛函组和强H-基的概念,并给出了代数曲线上的Hermite插值适定泛函组相关理论及一般性构造方法.所得结论推广了H.A.Hakopian,B.Bojanov和Yuan Xu等人在2002年及2003年得到的主要结果,从而搞清了二元Hermite插值适定泛函组的几何结构和基本特征.
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| 关 键 词： | 二元Hermite插值 沿平面代数曲线的Hermite插值 二元Hermite插值适定泛函组 |
Some researches on bivariate Hermite interpolation |
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| CUI Li-hong
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ZHANG Zhi-hui
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LI Wei-guo.Some researches on bivariate Hermite interpolation[J].Journal of Liaoning Normal University(Natural Science Edition),2012,35(2):145-149. |
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| Authors: | CUI Li-hong ZHANG Zhi-hui LI Wei-guo |
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| Institution: | (School of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | In this paper,some problems on bivariate Hermite interpolation by polynomial are studied.The concepts of strong H-basis and Hermite interpolation along a plane algebraic curve are proposed.As a result,the general methods for constructing the function for bivariate Hermite interpolation in R2 along a plane algebraic curve are deduced.This generalizes the main results acquired by H.A.Hakopian,Borislar Bojanov and Xu Yuan in 2002 and 2003,respectively. |
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| Keywords: | bivariate Hermite interpolation Hermite interpolation along a plane algebraic curve function of bivariate Hermite interpolation |
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