Please use this identifier to cite or link to this item: https://doi.org/10.1137/04061845X
DC FieldValue
dc.titleLocalization of the generalized sampling series and its numerical application
dc.contributor.authorQian, L.
dc.contributor.authorCreamer, D.B.
dc.date.accessioned2014-10-28T03:12:08Z
dc.date.available2014-10-28T03:12:08Z
dc.date.issued2006
dc.identifier.citationQian, L., Creamer, D.B. (2006). Localization of the generalized sampling series and its numerical application. SIAM Journal on Numerical Analysis 43 (6) : 2500-2516. ScholarBank@NUS Repository. https://doi.org/10.1137/04061845X
dc.identifier.issn00361429
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104811
dc.description.abstractWe study the localization of the sampling series with general kernel and obtain its error estimates. To achieve exponentially decaying accuracy for the series to approximate a band-limited function and its derivatives, a sufficient condition is given and a rigorous criterion is provided for the sampling to obtain any desired accuracy. The result includes several known results as special cases and gives new results about wavelet sampling series. © 2006 Society for Industrial and Applied Mathematics.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1137/04061845X
dc.sourceScopus
dc.subjectError estimate
dc.subjectGaussian
dc.subjectGeneralized sampling series
dc.subjectLocalization
dc.subjectMeyer wavelets
dc.typeArticle
dc.contributor.departmentCOMPUTATIONAL SCIENCE
dc.description.doi10.1137/04061845X
dc.description.sourcetitleSIAM Journal on Numerical Analysis
dc.description.volume43
dc.description.issue6
dc.description.page2500-2516
dc.description.codenSJNAA
dc.identifier.isiut000235426500011
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