| Bernstein型算子加Jacobi权逼近 |
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| 引用本文： | 丁春梅.Bernstein型算子加Jacobi权逼近[J].系统科学与数学,2006,26(1):011-020. |
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| 作者姓名： | 丁春梅 |
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| 作者单位： | 中国计量学院理学院信息与数学科学系,杭州,310018 |
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| 基金项目： | 国家自然科学基金资助课题(60473034)． |
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| 摘 要： | 对于Bernstein型算子,证明它在通常的加权范数下是无界的,通过引进新的加权范数,研究其加Jacobi权的逼近性质,得到加权逼近的正逆定理,从而导出加权逼近特征的等价刻画．
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| 关 键 词： | Bernstein型算子 Jacobi权 逼近 正定理 逆定理 |
| 收稿时间： | 2004-7-30 |
| 修稿时间： | 2004年7月30日 |
Approximation with Jacobi Weight for Bernstein Type Operators |
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| Ding Chunmei.Approximation with Jacobi Weight for Bernstein Type Operators[J].Journal of Systems Science and Mathematical Sciences,2006,26(1):011-020. |
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| Authors: | Ding Chunmei |
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| Institution: | Department of Information and Mathematics Sciences, College of Science,China Jiliang University, Hangzhou 310018 |
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| Abstract: | For Bernstein type operators, we prove that the operators are unbounded in usual weighted norm. After introducing a new weighted norm, we study the properties of approximation with Jacobi weight and obtain the direct and inverse theorems of weighted approximation. From these theorems the equivalent theorem of characterization follows. |
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| Keywords: | Bernstein type operators Jacobi weight direct theorem inverse theorem |
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