Optimal cubature formulas on compact homogeneous manifolds

Autor(es)

Kushpel, Alexander ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, Dept Math, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF FUNCTIONAL ANALYSIS; v. 257, n. 5, p. 1621-1629, SEP 1 2009.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 07/56162-8 - Formula de quadratura otima na esfera.
• Beneficiário: Alexander Kushpel
• Modalidade de apoio: Auxílio à Pesquisa - Regular