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球面网格范数的估计及应用
引用本文:陈志祥.球面网格范数的估计及应用[J].应用泛函分析学报,2010,12(1):33-38.
作者姓名:陈志祥
作者单位:绍兴文理学院数学系,绍兴,312000
摘    要:X是S2的有限子集,它的网格范数为hX.文章利用分析工具对hX的上、下界估计进行了一些研究和探讨.同时给出了所得结果在球面数值分析与逼近中的具体应用.

关 键 词:网格范数  基本系统  对偶空间  线性算子

Estimates of Spherical Mesh Norm and Its Applications
CHEN Zhixiang.Estimates of Spherical Mesh Norm and Its Applications[J].Acta Analysis Functionalis Applicata,2010,12(1):33-38.
Authors:CHEN Zhixiang
Institution:CHEN Zhixiang (Department of Mathematics, Shaoxing College of Arts and Science, Shaoxing 312000, China)
Abstract:X is a subset of S~2,and its mesh norm is h_x.This paper makes some investigations into the estimates of upper and lower bounds of h_x with the help of analysis.And specific applications of the results are given in numerical analysis and approximation on the unit sphere.
Keywords:mesh norm  fundmental system  dual space  linear operator
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