| Baskakov-Kantorovich算子导数的点态逼近性质 |
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| 引用本文： | 朱晓霞,李翠香,王瑞江. Baskakov-Kantorovich算子导数的点态逼近性质[J]. 河北师范大学学报(自然科学版), 2006, 30(5): 500-504 |
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| 作者姓名： | 朱晓霞 李翠香 王瑞江 |
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| 作者单位： | 河北科技大学,理学院,河北,石家庄,050018;河北师范大学,数学与信息科学学院,河北,石家庄,050016;河北科技大学,经济管理学院,河北,石家庄,050018 |
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| 摘 要： | 研究了Baskakov-Kantorovich算子高阶导数与所逼近函数光滑性之间的关系,通过该算子的导数引入新算子Kn,s(f,x),给出了这个新算子的线性组合的点态逼近定理.
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| 关 键 词： | Baskakov-Kantorovich算子 线性组合 导数 光滑模 K-泛函 |
| 文章编号： | 1000-5854（2006）05-0500-05 |
| 收稿时间： | 2005-05-13 |
| 修稿时间： | 2006-02-12 |
Pointwise Approximation Properties for the Derivatives of Baskakov-Kantorovich Operators |
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| ZHU Xiao-xia,LI Cui-xiang,WANG Rui-jiang. Pointwise Approximation Properties for the Derivatives of Baskakov-Kantorovich Operators[J]. Journal of Hebei Normal University, 2006, 30(5): 500-504 |
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| Authors: | ZHU Xiao-xia LI Cui-xiang WANG Rui-jiang |
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| Affiliation: | 1. College of Sciences, Hebei University of Science and Technology, Hebei Shijiazhuang 050018,China; 2. College of Mathematics and Information Sciences,Hebei Normal University, Hebei Shijiazhuang 050016,China;3.College of Economies and Management. Hebei University of Science and Technology,Hebei Shijiazhaung 050018,China |
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| Abstract: | The relation between higher order derivatives of Baskakov-Kantorovich operators and the smoothness of the functions to be approximated is studied.Moreover,a new operator K_(n,s)(f,x) from the derivatives of these operators is obtained,pointwise approximation theorems for combinations of the new operators are given. |
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| Keywords: | Baskakov-Kantorovich operators linear combinations derivatives modulus of smoothness K-founctional |
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