Optimal recovery of isotropic classes of twice-differentiable multivariate functions

DOI10.1016/j.jco.2010.07.004zbMath1215.41001OpenAlexW2091233766MaRDI QIDQ609738

Sergiy V. Borodachov, Dmytro S. Skorokhodov, Vladislav F. Babenko

Publication date: 1 December 2010

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2010.07.004

zbMATH Keywords

worst-case error\(C^2\) functionsoptimal coveringoptimal recovery of functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (8)

Optimal recovery of multivariate functions restricted by second-order differential operator ⋮ Optimal recovery of isotropic classes of \(r\)th differentiable multivariate functions ⋮ An optimal multivariate spline method of recovery of twice differentiable functions ⋮ Optimal recovery of isotropic classes of twice-differentiable functions defined on \(d\)-dimensional Euclidean space ⋮ Algorithms and complexity for functions on general domains ⋮ Optimal recovery of twice differentiable functions based on symmetric splines ⋮ Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere ⋮ Optimal Recovery of Isotropic Classes ofrth Differentiable Functions on ℝ^d

Uses Software

• kepler98

Cites Work

• Best methods of interpolation for certain classes of differentiable functions
• A proof of the Kepler conjecture
• Quantization for Probability Measures in the Prokhorov Metric
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