| 二元广义Baskakov算子在多项式加权空间上的逼近 |
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| 引用本文： | 高义.二元广义Baskakov算子在多项式加权空间上的逼近[J].河南师范大学学报(自然科学版),2011,39(5):6-9. |
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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,银川,750021 |
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| 基金项目： | 国家自然科学基金(10961001) |
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| 摘 要： | 讨论了一种二元广义Baskakov算子及其偏导数在多项式加权空间上的收敛性,给出该算子在加权意义下的点态逼近度估计和Voronovskaya型渐近展式以及偏导数在该空间上的收敛性.得到的结果更加广泛,此结果同时改进了已有的关于广义Baskakov算子逼近度的定理,即给出更加精细的特征刻画.
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| 关 键 词： | Baskakov算子 加权逼近 逼近度 收敛 |
The Approximation by a Kind of Generalized Baskakov Operators of Two Variables on Weighted Space of Polynomials |
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| GAO Yi.The Approximation by a Kind of Generalized Baskakov Operators of Two Variables on Weighted Space of Polynomials[J].Journal of Henan Normal University(Natural Science),2011,39(5):6-9. |
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| Authors: | GAO Yi |
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| Institution: | GAO Yi(School of Information and Computation Science,Beifang University of Nationalities,Yinchuan 750021,China) |
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| Abstract: | The convergence on weighted space of polynomials by a kind of generalized Baskakov operators of two-variable and their partial derivatives is discussed.The estimation of degree of weighted approximation and the Voronovskaya-type asymptotic behavior and properties of their derivatives on weighted space are obtained.The results are extensive which improve precisely the former results about degree of approximation by generalized Baskakov operators. |
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| Keywords: | Baskakov operators weighted approximation degree of approximation convergence |
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