| 无穷角形域Baskakov型算子族的Lipschitz类保持性质 |
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| 引用本文： | 曾晓明,吴从炘. 无穷角形域Baskakov型算子族的Lipschitz类保持性质[J]. 应用数学学报, 2001, 24(4): 502-508 |
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| 作者姓名： | 曾晓明 吴从炘 |
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| 作者单位： | 1. 厦门大学数学系,
2. 哈尔滨工业大学数学系, |
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| 基金项目： | 国家自然科学基金(19871068)和福建省自然科学基金资助项目. |
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| 摘 要： | 本文利用分裂随机向量的方法证明了无穷角形域上Baskakov型算子族的Lipschitz类保持性质，然后，利用概率论的技术结合逼近论的方法证明在一定条件下逆命题也成立。
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| 关 键 词： | Baskakov型算子族 Lipschitz类 随机向量 概率型算子 |
PRESERVATION OF LIPSCHITZ CLASS FOR BASKAKOV TYPE OPERATORS ON INFINITE ANGULAR REGION |
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| ZENG XIAOMING. PRESERVATION OF LIPSCHITZ CLASS FOR BASKAKOV TYPE OPERATORS ON INFINITE ANGULAR REGION[J]. Acta Mathematicae Applicatae Sinica, 2001, 24(4): 502-508 |
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| Authors: | ZENG XIAOMING |
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| Abstract: | In this paper, we prove that multidimensional Baskakov type operators on in- finite angular region preserve the Lipschitz class by the method of splitting the random vector. Further, by means of the approximation method and the technique of probability, we prove that the inverse result also is true under the certain conditions. |
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| Keywords: | Baskakov type operators Lipschitz class random vector |
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