| 多元推广的Bernstein算子的逼近性质 |
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| 引用本文： | 李风军,徐宗本.多元推广的Bernstein算子的逼近性质[J].应用数学学报,2007,30(5):955-960. |
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| 作者姓名： | 李风军 徐宗本 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 摘 要： | 构造了一类一致收敛于被逼近函数的多元序列,以此序列为基础,运用多元函数的全连续模及部分连续模来刻画这种多元推广的Bernstein算子的逼近性质,不仅得出了理论逼近结果,而且给出了数值逼近的例子.
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| 关 键 词： | 多元Bernstein算子 连续模 一致收敛 收敛阶 |
| 修稿时间： | 2006-03-23 |
The Approximation Properties of Genralized Multivariate Bernstein Operators |
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| LI FENGJUN,XU ZONGBEN.The Approximation Properties of Genralized Multivariate Bernstein Operators[J].Acta Mathematicae Applicatae Sinica,2007,30(5):955-960. |
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| Authors: | LI FENGJUN XU ZONGBEN |
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| Abstract: | We construct a kind of multidimensional sequences, which uniformly converge to the approximated functions. At the basis of these sequences, we characterize the approximation properties of a kind of genaralized multidimensional Bernstein operators by using full continuity modulus and partial continuity modulus of multidimensional functions. Not only draw a theoretically approximated conclusion, but also give a numerically approximated example. |
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| Keywords: | multivariate Bernstein operators modulus of continuity uniformly convergence convergence order exponential attractors fractional power spaces |
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