Estimates for \(n\)-widths of sets of smooth functions on the torus \(\mathbb{T}^d\)

DOI10.1016/j.jat.2014.03.014zbMath1294.41021OpenAlexW2029444400MaRDI QIDQ2451172

R. L. B. Stabile, Sergio Antonio Tozoni, Alexander Kushpel

Publication date: 3 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.jat.2014.03.014

zbMATH Keywords

toruswidthmultipliersmooth function

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Estimates for entropy numbers of sets of smooth functions on the torus \(\mathbb{T}^d\) ⋮ Optimal recovery and volume estimates ⋮ Estimates for entropy numbers of multiplier operators of multiple series ⋮ Approximation of differentiable and analytic functions by splines on the torus ⋮ The radii of sections of origin-symmetric convex bodies and their applications ⋮ Estimates for \(n\)-widths of sets of smooth functions on complex spheres ⋮ Estimates for \(n\)-widths of multiplier operators of multiple Walsh series ⋮ Lower bounds of cowidths and widths of multiplier operators

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