Some extremal properties of multivariate polynomial splines in the metric \(L_p(\mathbb R^d)\)

DOI10.1007/BF02878971zbMath0996.41007OpenAlexW1507202984MaRDI QIDQ1609698

Gui Qiao Xu, Yong-ping Liu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878971

zbMATH Keywords

Sobolev classesoptimal subspacemultivariate polynomial splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

The infinite-dimensional widths and optimal recovery of generalized Besov classes

Cites Work

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• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Infinite-dimensional widths in the spaces of functions. II
• Average width and optimal interpolation of the Sobolev-Wiener class \(W^ r_{pq}(\mathbb{R})\) in the metric \(L_ q(\mathbb{R})\)
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}

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