Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592517 | Journal of Functional Analysis | 2009 | 9 Pages |
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.
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Physical Sciences and Engineering
Mathematics
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