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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Optimal cubature formulas on compact homogeneous manifolds

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Author(s):
Kushpel, Alexander [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, IMECC, Dept Math, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: JOURNAL OF FUNCTIONAL ANALYSIS; v. 257, n. 5, p. 1621-1629, SEP 1 2009.
Web of Science Citations: 3
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 S(2), the unit sphere in R(3). (C) 2009 Elsevier Inc. All rights reserved. (AU)