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.