| Lagrange三角多项式插值于布朗桥测度空间下的平均误差 |
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| 引用本文： | 赵飞,董素彦,曹莉,许贵桥. Lagrange三角多项式插值于布朗桥测度空间下的平均误差[J]. 天津师范大学学报(自然科学版), 2009, 29(1): 7-11 |
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| 作者姓名： | 赵飞 董素彦 曹莉 许贵桥 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 石家庄栾城镇第二中学,石家庄,051430 |
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| 摘 要： | 将在Wiener空间下讨论平均误差的方法运用于布朗桥测度空间，得到了Lagrange三角多项式插值在布朗桥测度空间下的平均误差的弱渐近阶．
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| 关 键 词： | 平均误差 Lagrange三角多项式插值 Wiener空间 布朗桥测度 |
Average error of Lagrange trigonometric polynomial interpolation on the Brownian bridge measure space |
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| ZHAO Fei,DONG Suyan,CAO Li,XU Guiqiao. Average error of Lagrange trigonometric polynomial interpolation on the Brownian bridge measure space[J]. Journal of Tianjin Normal University(Natural Science Edition), 2009, 29(1): 7-11 |
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| Authors: | ZHAO Fei DONG Suyan CAO Li XU Guiqiao |
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| Affiliation: | ZHAO Fei , DONG Suyan , CAO Li , XU Guiqiao (1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China; 2. Luaneheng Town Second Middle School, Luancheng 051430, Shijiazhuang, China) |
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| Abstract: | By using the method of discussing average error on the Wiener space, the weakly asymptotic order for the average error of Lagrange trigonometric polynomial interpolation sequence on the Brownian bridge measure space is obtained. |
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| Keywords: | average error Lagrange trigonometric polynomial interpolation Wiener space Brownian bridge measure |
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