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| On a Linear Summation Problem of the Double Fourier Series | |
| 作者姓名： | Xu Chunning |
| 作者单位： | Xu Chunning (Changchun Post and Telecommunications Institute. Changchun，130012，P.R. China) He Jiaxing (Department of Math.，Jinn University of Technology，Changchun，130012，P.R. China) |
| 摘 要： | 1IntroductionactQ=(--RSxon,~nSyac)andC(O)betheconhnuousfunchonspaceofthePeriodicfunchonwithperiodZn.Ifthefunchonf(x,y)EC(Q),thenthepAnalsumofthedoubleFourierseriesofthefimchonMy)isgivenbySmnably)=ck,lcoskxsinly dk,Isinkxsinly)(l)whereakJ,bk,l,ck,IanddkJarecoefficientsOfthedoubleFourierseries.Thefactorsoftriangularmatrixaregivenby4:."),k~0,l,...,m;I=0,l,...,n;m,n=0,l,2,...(2)In1951,ReLl]consideredthegenerallinearsunUnationProblemofthedoubleFourierseries:HePOintedoutthatifthesullUna… |
On a Linear Summation Problem of the Double Fourier Series |
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| Xu Chunning.On a Linear Summation Problem of the Double Fourier Series[J].The Journal of China Universities of Posts and Telecommunications,1998(2). | |
| Authors: | Xu Chunning |
| Abstract: | |
| Keywords: | double Fourier series Summation factor convergence order |
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