| 二维广义Bernstein多项式 |
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| 引用本文： | 李良.二维广义Bernstein多项式[J].绍兴文理学院学报,2004,24(9):9-13. |
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| 作者姓名： | 李良 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 摘 要： | 给出二维广义的Bernstein多项式的定义 ,并研究该多项式一致收敛的充分必要条件 ,用连续模估计该多项式对连续函数的逼近误差 .
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| 关 键 词： | 二维广义Bernstein多项式 Korovkin定理 连续模 |
| 文章编号： | 1008-293X(2004)09-0009-05 |
| 修稿时间： | 2004年6月7日 |
A Two-dimensional Generalization of the Bernstein Polynomials |
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| Li Liang.A Two-dimensional Generalization of the Bernstein Polynomials[J].Journal of Shaoxing College of Arts and Sciences,2004,24(9):9-13. |
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| Authors: | Li Liang |
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| Abstract: | This paper gives the definition of two-dimensional generalization of the Bernstein Polynomials. We find a sufficient and necessary condition for uniform convergence by the polynomials. By using the modulus of continuity, we estimate the error of approximation for the polynomials to the continuous function. |
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| Keywords: | two-dimensional generalization of the Bernstein Polynomials Korovkin theorem modulus of continuity |
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