| 游功强.一类Ⅱ型剖分下的二元三次周期样条的超限插值和逼近(英)[J].数学研究及应用,1999,19(3):521~532 |
| 一类Ⅱ型剖分下的二元三次周期样条的超限插值和逼近(英) |
| On the Transfinite interpolation and Approximation by a Class of Periodic Bivariate Cubic Splines on Type-Ⅱ Triangulation |
| 投稿时间：1996-10-21 |
| DOI：10.3770/j.issn:1000-341X.1999.03.009 |
| 中文关键词: |
| 英文关键词:transfinite interpolation periodic bivariate cubic splines type-Ⅱ triangulation approximation order |
| 基金项目: |
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| 摘要点击次数: 2086 |
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| 中文摘要: |
| 本文讨论了Ⅱ一型三角剖分△（2）mn下的一类二元三次周期样条的超限插值和逼近，给出了它的表示以及存在唯一性，最后，估计了它的逼近阶． |
| 英文摘要: |
| In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △（2）mn. the existence, uniqueness and the expression of interpolation periodic bivariate splines are given. And at last, we estimate their approximation order. |
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