| 4次Hermite—Birkhoff插值基本样条的渐近展开 |
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| 引用本文： | 高协平. 4次Hermite—Birkhoff插值基本样条的渐近展开[J]. 湘潭大学自然科学学报, 1991, 13(2): 41-45 |
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| 作者姓名： | 高协平 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 提出了一类4次H-B插值基本样条,利用Peano核定理,讨论了其存在唯一性,给出了其误差的逐项渐近展开,发展了Daniel Lee的结果。
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| 关 键 词： | 误差分析 渐近展开 插值 |
THE ASYMPTOTIC EXPANSION OF THE QUARTIC HERMITE-BIRKHOFF INTERPOLATION CARDINAL SPLINE |
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| Gao Xieping. THE ASYMPTOTIC EXPANSION OF THE QUARTIC HERMITE-BIRKHOFF INTERPOLATION CARDINAL SPLINE[J]. Natural Science Journal of Xiangtan University, 1991, 13(2): 41-45 |
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| Authors: | Gao Xieping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper we present a new class of quartic Hermite-Birkhoff cardinal spline interpolation. In addition to Peano theorem andthe working equation, we obtained the asymptotic expansion of thisinterpolation process. This gives insight into Damiel Lee's result. |
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| Keywords: | error analysis asymptotic expansion interpolatin |
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