Exact asymptotics of the optimal Lp-error of asymmetric linear spline approximation

zbMath1379.41006arXiv1311.7408MaRDI QIDQ4597114

Yuliya Babenko, Dmytro S. Skorokhodov, Nataliia Viktorivna Parfinovych, Vladislav F. Babenko

Publication date: 11 December 2017

Full work available at URL: https://arxiv.org/abs/1311.7408

zbMATH Keywords

splinetriangulationsexact asymptoticsadaptive approximationoptimal erroranisotropic partitionsasymmetric approximation

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

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Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions ⋮ Optimal approximation order of piecewise constants on convex partitions

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