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Lower Estimate of Widths of Sobolev Classes on Regular Hexagon
YANG Wei 1, LIU Yongping 2
1. School of Mathematics and Statistics,Northeast Normal University, Changchun 130024
2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875
*Correspondence author
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Funding: This research is supported by SRFDP(20120043120003) and NSFC（No.11226110）
Opened online:19 May 2016
Accepted by: none
Citation: YANG Wei, LIU Yongping.Lower Estimate of Widths of Sobolev Classes on Regular Hexagon[OL]. [19 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689837
 
 
As one of the classical approximation problems, n-widths on hexagon has been discussed in this paper. Firstly, the definitions of periodic function classes on regular hexagon and rectangle on the plane are given. And then their relationship is presented. Furthermore, taking advantage of this relationship the asymptotic lower estimates of the n-width of the class of $L_p$ in $L_q$ metric is obtained.
Keywords:approximation theory, n-widths, differentiable function classes, regular hexagon
 
 
 

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