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dc.date.accessioned2006-03-29T14:09:36Z
dc.date.available2006-03-29T14:09:36Z
dc.date.issued2005
dc.identifier.uriurn:nbn:de:hebis:34-200603298416
dc.identifier.urihttp://hdl.handle.net/123456789/200603298416
dc.format.extent181514 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectApproximate approximationseng
dc.subjectError estimateseng
dc.subjectGaussian kernelseng
dc.subjectApproximationstheorieeng
dc.subjectFehlerabschätzungeng
dc.subject.ddc510
dc.titleError estimates for approximate approximations on compact intervalseng
dc.typePreprint
dcterms.abstractThe aim of this paper is the investigation of the error which results from the method of approximate approximations applied to functions defined on compact in- tervals, only. This method, which is based on an approximate partition of unity, was introduced by V. Mazya in 1991 and has mainly been used for functions defied on the whole space up to now. For the treatment of differential equations and boundary integral equations, however, an efficient approximation procedure on compact intervals is needed. In the present paper we apply the method of approximate approximations to functions which are defined on compact intervals. In contrast to the whole space case here a truncation error has to be controlled in addition. For the resulting total error pointwise estimates and L1-estimates are given, where all the constants are determined explicitly.eng
dcterms.accessRightsopen access
dcterms.creatorMüller, Frank
dcterms.creatorVarnhorn, Werner
dcterms.isPartOfMathematische Schriften Kasseleng
dcterms.isPartOf05, 20eng
dcterms.source.journalMathematische Schriften Kassel
dcterms.source.volume05, 20


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