| 非等距样本表示的截断误差估计 |
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| 引用本文： | 王建军 房艮孙. 非等距样本表示的截断误差估计[J]. 北京师范大学学报(自然科学版), 1997, 33(1): 18-21 |
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| 作者姓名： | 王建军 房艮孙 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 经典的Ｗｉｔｔａｋｅｒ－Ｋｏｔｅｌｎｉｋｏｖ－Ｓｈａｎｎｏｎ样本定理的是有限带函数由其Ｗｈｉｔｔａｋｅｒ级数表示问题，它涉及到一个无限项和。当样本节点非等距时，有限带函数用有限项和逼近，其截断误差可以表示为一围积分。在一定的条件的限制下，得到了一个截断误差估计。
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| 关 键 词： | 截断误差 非等距样本表示 误差估计 有限带函数 |
ON THE TRUNCTION ERROR ESTIMATE FORNONEQUIDISTANT SAMPLING REPRESENTATION |
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| Wang Jianjun, Fang Gensun. ON THE TRUNCTION ERROR ESTIMATE FORNONEQUIDISTANT SAMPLING REPRESENTATION[J]. Journal of Beijing Normal University(Natural Science), 1997, 33(1): 18-21 |
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| Authors: | Wang Jianjun Fang Gensun |
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| Abstract: | The classical sampling theorem states that a band-limited function can berepresented by its Whittaker series which involves an infinite sum. The trunction error associatedwith a given representation is defined as the difference between the function andthe approximating sum utilizing a finite number of terms. Under some constraints on the funcnon, a truncation error estimate is obtained. |
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| Keywords: | band-limited Whittaker series nonequidistantly spaed sampling points trunction error |
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