Sobolev-Wiener空间上的无穷维宽度和最优插值问题

永平 刘; 永生 孙

doi:10.1360/za1992-22-6-582

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Sobolev-Wiener空间上的无穷维宽度和最优插值问题

永平刘永生孙

Year: 1992 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 22 (6)Pages: 582-591 Publisher: Science China Press

DOI: 10.1360/za1992-22-6-582

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Abstract

本文引入了一类定义在全实数轴上的Sobolev-Wiener空间,在其中讨论了点集的无穷维宽度和最优插值问题.求出了W_∞,p^r(R)在L_p(R)尺度下无穷维Ko-lmogorov宽度、线性宽度的精确值(强渐近精确值),并解决了最优插值问题.

Keywords:

Mathematics Sobolev space Geology Pure mathematics

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Sobolev-Wiener空间上的无穷维宽度和最优插值问题

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