HERMITE 型非正规样本定理及其混淆误差估计

数学物理学报 ›› 2011, Vol. 31 ›› Issue (5): 1220-1229.

HERMITE 型非正规样本定理及其混淆误差估计

徐艳艳, 张亚兰, 陈广贵

西华大学数学与计算机学院成都 |610039

收稿日期:2009-02-22 修回日期:2010-11-06 出版日期:2011-10-25 发布日期:2011-10-25
基金资助:
四川省科技厅重点项目基金(05JY029-138)、西华大学重点学科-应用数学(XZD0910-09-1)和西华大学校青年基金(Q0822601)资助

Irregular Sampling Theorem of Hermite Type and Estimate of Aliasing Error

TU Yan-Yan, ZHANG Ya-Lan, CHEN Guang-Gui

School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039

Received:2009-02-22 Revised:2010-11-06 Online:2011-10-25 Published:2011-10-25
Supported by:
四川省科技厅重点项目基金(05JY029-138)、西华大学重点学科-应用数学(XZD0910-09-1)和西华大学校青年基金(Q0822601)资助

摘要/Abstract

摘要：

该文证明了具有扰动的二重样本序列的指数型整函数的Marcinkiewicz-Zygmund型不等式. 并由此结果得到非正规样本定理及其在Soblev类上的混淆误差估计.

关键词: Marcinkiewicz-Zygmund型不等式, 非正规样本定理, 指数型整函数, 混淆误差

Abstract:

In this paper, the authors prove a Marcinkiewicz-Zygmund type inequality for entire functions of exponential type with multiple sampling sequences f(λ_n) and f^(λ_n). And from this result, the authors establish an irregular Whittaker-Kotelnikov-Shannon type sampling theorem and determine the bound of its aliasing error on the Sobolev classes.

Key words: Marinkiewicz-Zygmund type inequality, Irregular sampling theorem, Entire function of exponential type, Aliasing error

中图分类号:

94A20

徐艳艳, 张亚兰, 陈广贵. HERMITE 型非正规样本定理及其混淆误差估计[J]. 数学物理学报, 2011, 31(5): 1220-1229.

TU Yan-Yan, ZHANG Ya-Lan, CHEN Guang-Gui. Irregular Sampling Theorem of Hermite Type and Estimate of Aliasing Error[J]. Acta mathematica scientia,Series A, 2011, 31(5): 1220-1229.

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