Nonlinear widths of classes of smooth functions defined on the unit sphere in \(\mathbb R^d\)

DOI10.1134/S0001434609010167zbMath1181.41044MaRDI QIDQ1033904

V. S. Romanyuk

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

spherical harmonicLaplace-Beltrami operatorGegenbauer polynomialLebesgue measureweak asymptoticsnonlinear width (\(n\)-width)

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space

Cites Work

• Unnamed Item
• Optimal nonlinear approximation
• Kolmogorov width of classes of smooth functions on the sphere \(\mathbb S^{d-1}\)
• Hypergeometric functions and toric varieties
• On nonlinear 𝑛-widths

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