Relatório de pesquisa 28/08
Optimal Cubature Formulas on Compact Homogeneous Manifolds, Alexander Kushpel, submitted Dec. 03.
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 $\mathbb{S}^{2}$, the unit sphere in $\mathbb{R}^{3}$.
Mathematics Subject Classifications
(2000): 41A46, 42B15
Keywords: reconstruction, data points, polynomial, volume
If you are interested in obtaining a copy of this Report please contact
the author(s) either via e-mail or by snail mail, at the
address:
IMECC, UNICAMP
Cx. P. 6065
13083-970 Campinas, SP, BRAZIL
December 04, 2008
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