| q-Baskakov型算子的A-统计逼近 |
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| 引用本文： | 刘生贵. q-Baskakov型算子的A-统计逼近[J]. 纯粹数学与应用数学, 2014, 30(4): 367-376 |
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| 作者姓名： | 刘生贵 |
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| 作者单位： | 嘉应学院数学学院,广东梅州,514015 |
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| 摘 要： | 引入一类q-Baskakov型算子,对一个非负正则可求和矩阵A,应用A-统计逼近的理论,研究了这类修正的Korovkin型统计逼近性质.对于0q≤1,借助连续性模,证得这类q-Baskakov型算子的收敛速度要优于q-Baskakov算子.
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| 关 键 词： | 统计逼近 q-Baskakov型算子 连续性模 |
A-statistical approximation of q-Baskakov type operators |
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| Liu Shenggui. A-statistical approximation of q-Baskakov type operators[J]. Pure and Applied Mathematics, 2014, 30(4): 367-376 |
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| Authors: | Liu Shenggui |
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| Affiliation: | Liu Shenggui (School of Mathematics, Jiaying University, Meizhou 514015, China) |
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| Abstract: | In this paper, the q-Baskakov type operators are introduced. And we investigate the Korovkin type statistical approximation properties of these operators via A-statistical approximation. For 0 〈 q ≤ 1, we show that the rate of convergence for these q-Baskakov type operators is better than the q-Baskakov operators by means of the modulus of continuity. |
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| Keywords: | statistical approximation q-Baskakov type operators modulus of continuity |
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