Optimal cubature formulas on compact homogeneous manifolds

DOI10.1016/j.jfa.2009.04.018zbMath1185.41026OpenAlexW2083219623WikidataQ125784005 ScholiaQ125784005MaRDI QIDQ837070

Alexander Kushpel

Publication date: 10 September 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.04.018

zbMATH Keywords

cubaturerate of convergencequadratureapproximate integration

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55)

Related Items (6)

Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Optimal recovery and volume estimates ⋮ Discrepancy and numerical integration on metric measure spaces ⋮ The radii of sections of origin-symmetric convex bodies and their applications ⋮ Estimates for \(n\)-widths of multiplier operators of multiple Walsh series ⋮ Lower bounds of cowidths and widths of multiplier operators

Cites Work

• Fractional derivatives and best approximations
• Estimates of the Bernstein widths and their analogs
• Estimates of \(n\)-widths of Sobolev's classes on compact globally symmetric spaces of rank one.
• On the problem of optimal reconstruction
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Two-point homogeneous spaces
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
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