| ON INTERPOLATION OF A CERTAIN CLASS OF FUNCTIONS |
| |
| 作者姓名： | 朱尧辰 |
| |
| 作者单位： | Institute of Applied Mathematics，the Chinese Academy of Sciences，Beijing 100080，China |
| |
| 摘 要： | I.StatementofResultsForarealaleta~ma-c(1,Ial).Lets21.WeuseG.todenotethes-dimensionalunitcube,and(:,')todenotethescalarproductofvectors:and,inH.Form(ml,',m.)EZsand^~(Al,',A.)EHwedenotel'II^=mtl...m:a.Inparticular,ifA=(A,',A),thenwewritellmJI'=IImll^.Fulthermore,forf=(TI,'.)r.)EH,letiff=lrlI ... Ir.].Letf~(n,',r.)ERswithfi20(i~1,',s),andletf(:)beasingle--valuedfunctionsuchthatf(xl,'sxit',x.)~f(xl,')xi 1,',x.),i~1,')s.Writefi=pi fi(i~1,',s),wherepi~fi~0iffi=0an…
|
| 收稿时间： | 22 June 1993 |
On interpolation of a certain class of functions |
| |
| Yaochen Zhu.ON INTERPOLATION OF A CERTAIN CLASS OF FUNCTIONS[J].Acta Mathematicae Applicatae Sinica,1997,13(1):45-56. |
| |
| Authors: | Yaochen Zhu |
| |
| Institution: | (1) Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China |
| |
| Abstract: | In the present paper the approximate fuctions for certain multivariate periodic functions with bounded mired derivatives are constructed by making use of their values at the knots of number-theoretical nets. |
| |
| Keywords: | Interpolation periodic function number-theoretical nets |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
