| Bernstein-Kantorovich算子的迭代布尔和的逼近性质 |
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| 引用本文： | 李翠香,任孟霞.Bernstein-Kantorovich算子的迭代布尔和的逼近性质[J].数学杂志,2007,27(1):105-110. |
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| 作者姓名： | 李翠香 任孟霞 |
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| 作者单位： | 1. 河北师范大学数学与信息科学学院,河北,石家庄,050016
2. 衡水师范专科学校分校数学组,河北,衡水,053000 |
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| 基金项目： | 河北省博士科研项目;河北师大博士基金 |
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| 摘 要： | 本文利用光滑模及最佳逼近多项式的性质,研究了Bernstein-Kantorovich算子的迭代布尔和对Lp0,1]中的函数的逼近性质,得到了逼近正定理,弱逆不等式及等价定理.
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| 关 键 词： | Bernstein-Kantorovich算子 光滑模 迭代布尔和 |
| 文章编号： | 0255-7797（2007）01-0105-06 |
| 修稿时间： | 2004-10-202005-04-08 |
APPROXIMATION QUALITIES FOR THE ITERATED BOOLEAN SUMS OF BERNSTEIN-KANTOROVICH OPERATORS |
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| LI Cui-xiang,REN Meng-xia.APPROXIMATION QUALITIES FOR THE ITERATED BOOLEAN SUMS OF BERNSTEIN-KANTOROVICH OPERATORS[J].Journal of Mathematics,2007,27(1):105-110. |
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| Authors: | LI Cui-xiang REN Meng-xia |
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| Institution: | 1. College of Math. and Information Science, Hebei Normal University, Shijiazhuang 050016, China;2. Math. Group, Branch of Hengshui Normal College, Hengshui 053000, China |
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| Abstract: | In this paper, by modulus of smoothness and qualities of polynomial of best approximation, we discuss the approximation qualities by the iterated Boolean sums of Bernstein-Kantorovich operators,for functions which are defined in the space L_p0,1]. Also we give the direct theorem, weak inverse inequality and equivalent theorem. |
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| Keywords: | Bernstein-Kantorovich operator Modulus of smoothness the Iterated Boolean sum |
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