On theLp-error of adaptive approximation of bivariate functions by harmonic splines

DOI10.1080/00036811.2013.766323zbMath1295.41008arXiv1101.2696OpenAlexW1574849479WikidataQ58243477 ScholiaQ58243477MaRDI QIDQ5413833

Tatyana Leskevich, Yuliya Babenko

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2696

zbMATH Keywords

interpolationasymptoticsadaptiveoptimal errorharmonic spline

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15) Approximation algorithms (68W25) Interpolation and approximation (educational aspects) (97N50)

Related Items (1)

Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions

Cites Work

• Unnamed Item
• Exact asymptotics of the uniform error of interpolation by multilinear splines
• Approximation of functions of two variables by harmonic splines

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