| 多维Bernstein—Durrmeyer算子的逼近性质 |
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| 引用本文： | 李落清. 多维Bernstein—Durrmeyer算子的逼近性质[J]. 湖北大学学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 李落清 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 本文研究定义于L_p([0.1]~m)上的Bernstein—Durrmeyer算子的逼近问题。运用K—泛函工具,建立了Bernstein—Durrmeyer算子逼近的量化估计和逆定理。
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| 关 键 词： | 多维Bernstein—Durrmeyer算子 逼近 |
ON APPROXIMATION BY MULTIDIMENSIONAL BERNSTEIN-DURRMEYER OPERATORS |
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| Li Luoqing. ON APPROXIMATION BY MULTIDIMENSIONAL BERNSTEIN-DURRMEYER OPERATORS[J]. Journal of Hubei University(Natural Science Edition), 1988, 0(4) |
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| Authors: | Li Luoqing |
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| Affiliation: | Department of Mathematics |
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| Abstract: | We study the Bernstein-Durrmeyer polynomial operators defined for integrable functions on a cube in Rm. Using the K-functional tool, we have proved the quantitative theorems and inverse theorems of approximation by Bernstein-Durrmeyer operators. |
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| Keywords: | Multidimensional Bernstein-Durrmeyer operator Approx- imation. |
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