| 多维卷积算子逼近的量化定理 |
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| 引用本文： | 李落清. 多维卷积算子逼近的量化定理[J]. 湖北大学学报(自然科学版), 1991, 13(1): 28-31 |
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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： | 本文建立了具有正核的多维卷积算子逼近的量化定理。同时得到多元Jackson多项式算子和多元Vallée Poussin多项式算子逼近的误差估计。
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| 关 键 词： | 多维卷积算子 逼近 量化定理 |
QUANTITATIVE THEOREMS ON THE APPROXIMATION BY THE MULTIDIMENSIONAL CONVOLUTION OPERATORS |
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| Li Luoqing. QUANTITATIVE THEOREMS ON THE APPROXIMATION BY THE MULTIDIMENSIONAL CONVOLUTION OPERATORS[J]. Journal of Hubei University(Natural Science Edition), 1991, 13(1): 28-31 |
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| Authors: | Li Luoqing |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,the quantitative theorems on the approximation by multidimensional convolution operators are established. In particular, the degree of approximation by multivariate Jackson and Vallee Poussin polynomials is also obtained. |
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| Keywords: | Multidimensional convolution operator Approximation Quantitative theorem. |
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