| Hermite型多元样本定理及Sobolev类上混淆误差的估计 |
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| 引用本文： | 房艮孙,李跃武.Hermite型多元样本定理及Sobolev类上混淆误差的估计[J].数学年刊A辑(中文版),2006(2). |
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| 作者姓名： | 房艮孙 李跃武 |
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| 作者单位： | 北京师范大学数学科学学院，北京师范大学数学科学学院 北京 100875，北京 100875；呼伦贝尔学院数学系，内蒙古 海拉尔 021008 |
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| 基金项目： | 国家自然科学基金(No．10371009)，高等学校博士点专项科研基金(No．20050027007)资助的项目 |
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| 摘 要： | 本文证明了Hermite型多元样本定理,并由此确定了Sobolev类上混淆误差阶的精确估计．
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| 关 键 词： | Hermite型多元样本定理 指数型整函数 Sobolev类 插值级数 混淆误差 |
Multidimensional Sampling Theorem of Hermite Type and Estimates for Aliasing Error on Sobolev Classes |
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| FANG Gensun LI Yuewu.Multidimensional Sampling Theorem of Hermite Type and Estimates for Aliasing Error on Sobolev Classes[J].Chinese Annals of Mathematics,2006(2). |
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| Authors: | FANG Gensun LI Yuewu |
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| Institution: | FANG Gensun LI Yuewu Department of Mathematics,Beijing Normal University,Beijing 100875,China. Department of Mathematics,Beijing Normal University,Beijing 100875,China,Department of Mathematics,Hulunbeier College,Hailaer 021008,Inner Mongola,China. |
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| Abstract: | This paper proves a multidimensional sampling theorem of Hermite type,from which the exact estimate of order of aliasing error on Sobolev classes of functions are deter- mined. |
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| Keywords: | Multidimensional sampling theorem of Hermite type Entire function of exponential type Sobolev class Interpolating series |
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