Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains

DOI10.1007/s00365-012-9154-2zbMath1278.33005OpenAlexW2090251839MaRDI QIDQ1943995

Feng Dai, He Ping Wang

Publication date: 3 April 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-012-9154-2

zbMATH Keywords

spherical capsphereballsimplexcubature formulasweighted Besov spaces\(A_{\infty}\) weights

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (11)

New moduli of smoothness on the unit ball, applications and computability ⋮ Weighted fractional Bernstein's inequalities and their applications ⋮ Discretization of integrals on compact metric measure spaces ⋮ Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball ⋮ Complexity of Monte Carlo integration for Besov classes on the unit sphere ⋮ Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere ⋮ Approximation and localized polynomial frame on double hyperbolic and conic domains ⋮ Marcinkiewicz-Zygmund inequalities and interpolation by spherical polynomials with respect to doubling weights ⋮ Approximation and localized polynomial frame on conic domains ⋮ Bernstein inequalities with nondoubling weights ⋮ Relating coefficients of expansion of a function to its norm

Cites Work

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