| 关于Lupas-Baskakov算子的点态逼近估计 |
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| 引用本文： | 王涛,周运明.关于Lupas-Baskakov算子的点态逼近估计[J].山东大学学报(理学版),2005,40(2):17-23. |
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| 作者姓名： | 王涛 周运明 |
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| 作者单位： | 山东理工大学,数学科学学院,山东,淄博,250049 |
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| 摘 要： | 综合利用概率论一中心极限定理的一种渐近展开形式和Bojanic-Cheng方法结合分析技巧研究了Lupas-Baskakov算子对局部有界函数的点态逼近估计，进一步证明了此估计在连续点处是渐近最优的，并给出了Lupas-Baskakov算子关于单调函数和凸函数的几何性质．
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| 关 键 词： | Lupas-Baskakov算子 局部有界函数 格子点分布 中心极限定理 折线逼近 渐近最优 |
| 文章编号： | 1671-9352(2005)02-0017-07 |
| 修稿时间： | 2004年3月2日 |
Pointwise approximation of Lupas-Baskakov operators |
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| WANG Tao,ZHOU Yun-ming.Pointwise approximation of Lupas-Baskakov operators[J].Journal of Shandong University,2005,40(2):17-23. |
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| Authors: | WANG Tao ZHOU Yun-ming |
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| Abstract: | The rate of convergence of Lupas-Baskakov operators for locally bounded functions is studied by means of probabistic methods and Bojanic-Cheng methods combining with analysis technique. It is proved that the estimation is asymptotically optimal for continuous points. The geometry character of Lupas-Baskakov operators is obtained. |
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| Keywords: | Lupas-Baskakov operators locally bounded function lattice distribution central limited theorem broken line approximation asymptotic optimal |
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