| 单纯形上Bernstein多项式的渐近展开式及关于阶的高阶差分(英文) |
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| 引用本文： | 李平. 单纯形上Bernstein多项式的渐近展开式及关于阶的高阶差分(英文)[J]. 中国科学技术大学学报, 1992, 0(1) |
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| 作者姓名： | 李平 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 基金项目： | The Subject is Supported by the National Natural Science Fundation of China. |
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| 摘 要： | 给出了单纯形上两个相邻Bernstein多项式的差的一个估计式以及Bernstein多项式的一个渐近展开式并讨论了Bernstein多项式关于阶的高阶差分,得到一个极限公式。
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| 关 键 词： | Bernstein多项式 单纯形 渐近展开式 差分 |
Asymptotic Expansion for Bernstein Polynomials Defined on a Simplex and the Higher Difference About Degree~* |
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| Li Ping. Asymptotic Expansion for Bernstein Polynomials Defined on a Simplex and the Higher Difference About Degree~*[J]. Journal of University of Science and Technology of China, 1992, 0(1) |
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| Authors: | Li Ping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper gives an estimation of error for the difference of two consecutive Bernstein polynomials defined on a simplex and gives an asymptotic expansion of Bernstein polynomial. Finally, the higher difference about the degree of Bernstein polynomials is discussed. |
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| Keywords: | Bernstein polynomial simplex asymptotic expansion difference |
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