AN APPROXIMATION OF ANALYTICAL FUNCTIONS BY LOCAL SPLINES

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摘要 Locccalsplmesarepresentedfartheapproximationoffunctionsofoneandmanyvariables,whichareana-lyticinthedomamswhereUi(zi)isaunitdiskinthecomplexplaneCi,i=1,2,...l,l=1,2,...Resultsarcgivenforfunctionswhoser-orderderivativesbelongtotheHardy’sclassHp,1≤p≤∞,ItisshownthattheapproximationconvergetothefunctionattherateAexp(-Cn(r-1/p)forfunctionsofonevariableandAn-(r-1/p)/(I-1)forfunctionsoflvariables,wherenisthenumberofpointsoflocalsplinesandAandCarepositrveconstants.
机构地区 不详
出版日期 1996年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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