Article ID Journal Published Year Pages File Type
4592517 Journal of Functional Analysis 2009 9 Pages PDF
Abstract

We find lower bounds for the rate of convergence of optimal cubature formulas on sets of differentiable functions on compact homogeneous manifolds of rank I or two-point homogeneous spaces. It is shown that these lower bounds are sharp in the power scale in the case of S2, the unit sphere in R3.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory