Spectral properties and geometric interpretation of R-filters

Tuo LENG

doi:10.1007/s10483-009-0112-2

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 1: 109 - 120

DOI: https://doi.org/10.1007/s10483-009-0112-2

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Spectral properties and geometric interpretation of R-filters

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Laboratory for Automated Reasoning and Programming,Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, P. R. China

Received date: 2008-05-03

Revised date: 2008-12-02

Online published: 2009-01-01

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Abstract

By applying the Fourier analysis, we study the spectral properties of R-filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation of R-filters.

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Tuo LENG . Spectral properties and geometric interpretation of R-filters[J]. Applied Mathematics and Mechanics, 2009 , 30(1) : 109 -120 . DOI: 10.1007/s10483-009-0112-2

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