| 关于一类组合型三角求和算子的最佳一致逼近 |
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| 引用本文： | 周学勤,孟佳娜.关于一类组合型三角求和算子的最佳一致逼近[J].松辽学刊,2006,27(4):1-4. |
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| 作者姓名： | 周学勤 孟佳娜 |
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| 作者单位： | [1]烟台大学数学与信息科学系,山东烟台264005 [2]烟台大学计算机学院,山东烟台264005 |
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| 基金项目： | 国家自然科学基金;烟台大学校科研和教改项目 |
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| 摘 要： | 对两类Bernstein型三角求和算子进行线性组合，构造了一个新的算子．证明了该算子在全实轴上一致收敛于任意以2π为周期的连续函数，并且得到了算子的最佳收敛阶，最后给出了算子的最高收敛阶．在收敛性方面，本文构造的新算子明显优于其他算子．
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| 关 键 词： | Bernstein型三角求和算子 一致收敛 最佳收敛阶 |
| 文章编号： | 1000-1840（2006）04-0001-04 |
| 收稿时间： | 2006-07-25 |
| 修稿时间： | 2006年7月25日 |
On the Best Uniform Approximation of a Class of Triangle Summation Operators of Combination Type |
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| ZHOU Xue-qin,MENG Jia-na.On the Best Uniform Approximation of a Class of Triangle Summation Operators of Combination Type[J].Songliao Journal (Natural Science Edition),2006,27(4):1-4. |
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| Authors: | ZHOU Xue-qin MENG Jia-na |
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| Institution: | 1. Department of Mathematics and Information Science, Yantai University. Yantai 264005, China; 2. School of Computer Science and Technology, Yantai University, Yantai 264005, China |
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| Abstract: | A new triangle summation operator is constructed through combining two classes of operators of Bemstein type linearly. It is proved that this operator converges to arbitrary continuous function with period on the whole axis. The best convergence order of the operator is obtained. Finally, the highest convergence order of the operator is carried out. On the aspect of convergence, the new operator constructed in this paper is superior to other operators. |
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| Keywords: | triangle summation operator of Bemstein type uniform convergence the best approximation order |
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