| 一类修正的q-Baskakov算子的逼近性质 |
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| 引用本文： | 莫庆峰,胡晓敏,吴鹏.一类修正的q-Baskakov算子的逼近性质[J].杭州电子科技大学学报,2014(4):52-54. |
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| 作者姓名： | 莫庆峰 胡晓敏 吴鹏 |
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| 作者单位： | 杭州电子科技大学数学研究所,浙江杭州310018 |
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| 摘 要： | Baskakov型算子是研究函数逼近问题的一种很重要的工具。该文基于Gupta所提出的q-Baskakov算子,介绍了一类修正的q-Baskakov算子,给出了该类算子的一些基本性质,并且得到了该类算子的一致收敛定理,从而进一步推广了q-Baskakov算子的一些结论。
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| 关 键 词： | 算子 逼近 q-巴斯卡科夫算子 |
The Research on Approximation Properties of Modified q-Baskakov Type Operators |
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| Mo Qingfeng,Hu Xiaomin,Wu Peng.The Research on Approximation Properties of Modified q-Baskakov Type Operators[J].Journal of Hangzhou Dianzi University,2014(4):52-54. |
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| Authors: | Mo Qingfeng Hu Xiaomin Wu Peng |
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| Affiliation: | (Institute of Mathematics, Hangzhou Dian.n University, Hangzhou Zhejiang 310018, China) |
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| Abstract: | The Baskakov operator is a very important tool in discussing the theory of approximation theorem. q-Baskakov operators are defined by Vijay Gupta, we introduce a modified q-Baskakov type operator and investigate some properties of generalized modified q-Baskakov operators in this paper. And a consistent convergence theorem of the operators is obtained, so the previous results about the operators are further integrated and supplemented. |
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| Keywords: | operator approximation q-Baskakov operators |
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