| 一类线性插值算子的逼近 |
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| 引用本文： | 朱宝彦,袁学刚.一类线性插值算子的逼近[J].沈阳建筑工程学院学报(自然科学版),2000,16(2):152-155. |
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| 作者姓名： | 朱宝彦 袁学刚 |
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| 作者单位： | 沈阳建筑工程学院基础部!辽宁沈阳110015(朱宝彦)，烟台大学数学系!山东烟台264005(袁学刚) |
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| 摘 要： | 构造一个线性插值算子Bn(f ;r ,x) ,它对于有任意阶导数的连续函数 f(x)∈Cj〔 -1,1〕,(0≤j≤r)都一致收敛 ,并且收敛阶达到了最佳 .算子Bn(f ;r ,x)的最高收敛阶不超过 1nr 2 .
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| 关 键 词： | 线性插值算子 一致收敛 收敛阶 逼近 |
| 修稿时间： | 1999-07-01 |
Approximation by a kind of linear interpolation operator |
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| Zhu Baoyan,.Approximation by a kind of linear interpolation operator[J].Journal of Shenyang Archit Civil Eng Univ: Nat Sci,2000,16(2):152-155. |
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| Authors: | Zhu Baoyan |
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| Abstract: | In this paper,an linear interpolation operator Bn(f;r,x) is formulated that converges uniformly to the continuous function that has any-order derivative and the convergence order is the best.The highest convergence order is not more than 1/n (r 2) . |
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| Keywords: | Linear interpolation operator converge uniformly convergence order approximation |
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