| 梁学章,朱功勤.构造二元切触插值公式的方法[J].数学研究及应用,1981,1(1):91~100 |
| 构造二元切触插值公式的方法 |
| The Method of Constructing Bivariate Osculatory Interpolation Formula |
| 投稿时间：1980-12-22 |
| DOI：10.3770/j.issn:1000-341X.1981.01.011 |
| 中文关键词: |
| 英文关键词: |
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| 中文摘要: |
| 本文在文章[1]的基础上对切触插值问题给出了迭加插值法。它可容许某些不规则的插值条件,既可保证插值的存在与唯一性,又便于求得具体的插值公式。在本文最后还给出了古典的Lagrange插值法对二元切触插值的推广,它概括了Тополяньский和Ahlin的结果。 |
| 英文摘要: |
| In this paper, the method of superposed interpolation for the problem of oscu-latory interpolation on the basis of our paper [1] is given. It allows of some irregular interpolation conditions. Not only the existence and the uniqueness of the interpolation may be assured, but some concrete interpolation formula can be obtained. In the close of this paper a generalization of the classical Lagrange interpolation method to bivariate osculatory interpolation is given. It also generalizes the results of Тополяньский and Ahlin ([2]、[3]). |
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