Averages on caps of Sd-1

被引:11
作者
Ditzian, Z [1 ]
Runovskii, K [1 ]
机构
[1] Univ Alberta, Dept Math, Edmonton, AB T6G 2G1, Canada
关键词
averages on caps of Sd-1; Laplace-Beltrami operator; strong converse inequalities; K-functionals; Stekelov-type means;
D O I
10.1006/jmaa.2000.6897
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the sphere Sd-1, it is shown that the rate of convergence of the average on a cap of Sd-1 to the function is equivalent to the K-functionals constructed using the Laplace-Beltrami operator. (C) 2000 Academic Press.
引用
收藏
页码:260 / 274
页数:15
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