Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space

DOI10.1007/BF02677422zbMath0930.41011MaRDI QIDQ1299825

Yong-ping Liu

Publication date: 6 February 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163236

zbMATH Keywords

cardinal interpolationpolyharmonic splinesremainder formula

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (2)

Simultaneous approximations for functions in Sobolev spaces of derivatives of polyharmonic cardinal splines ⋮ Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\)

Cites Work

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• Polyharmonic cardinal splines
• Average Kolmogorov \(n\)-widths (\(n\)-K width) and optimal interpolation of Sobolev class in \(L_ p(\mathbb{R})\)
• Average width and optimal interpolation of the Sobolev-Wiener class \(W^ r_{pq}(\mathbb{R})\) in the metric \(L_ q(\mathbb{R})\)
• Multivariate cardinal interpolation with radial-basis functions

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