Widths of weighted Sobolev classes on the ball

DOI10.1016/j.jat.2008.10.001zbMath1158.41004OpenAlexW2060102186MaRDI QIDQ999270

Hong-Wei Huang, He Ping Wang

Publication date: 3 February 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.10.001

zbMATH Keywords

\(n\)-widthsweighted Sobolev classes

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (8)

Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball -- preasymptotics, asymptotics, and tractability ⋮ Entropy numbers of functions on \([-1,1\) with Jacobi weights] ⋮ Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball ⋮ Probabilistic linear widths of Sobolev space with Jacobi weights on \([-1,1\)] ⋮ On the widths of Sobolev classes ⋮ Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure ⋮ Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure ⋮ A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE

Cites Work

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• Kolmogorov and linear widths of weighted Besov classes
• Fractional derivatives and best approximations
• Weighted approximation of functions on the unit sphere
• Approximation of smooth functions on compact two-point homogeneous spaces
• Localized polynomial frames on the ball
• Multivariate polynomial inequalities with respect to doubling weights and \(A_{\infty}\) weights
• Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}

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