| 一种推广的二元Bernstein型算子的逼近性质 |
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| 引用本文： | 高义. 一种推广的二元Bernstein型算子的逼近性质[J]. 西南民族学院学报(自然科学版), 2007, 33(4): 722-727 |
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| 作者姓名： | 高义 |
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| 作者单位： | 北方民族大学信息与计算科学学院 宁夏银川750021 |
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| 摘 要： | 构造出单纯形上一种推广的二元Bernstein型算子,给出其在定义域上一致收敛的充分必要条件和几个逼近定理.
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| 关 键 词： | Bernstein算子 逼近 连续模 |
| 文章编号： | 1003-2843（2007）04-0722-06 |
| 收稿时间： | 2007-03-21 |
| 修稿时间： | 2007-03-21 |
The approximation properties for a kind of generalized Bernstein type operators of two variables |
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| GAO Yi. The approximation properties for a kind of generalized Bernstein type operators of two variables[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(4): 722-727 |
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| Authors: | GAO Yi |
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| Abstract: | In this paper, a kind of generalized Bernstein type operators of two variables on simplex is constructed, a necessary and sufficient condition of uniform convergence by them is obtained, and the degree of approximation is characterized by two-order modulus of continuity. |
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| Keywords: | Bernstein operator approximation modulus of continuity |
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