Simultaneous approximations for functions in Sobolev spaces of derivatives of polyharmonic cardinal splines

DOI10.1006/jath.1999.3360zbMath0938.41009OpenAlexW2072530196MaRDI QIDQ1960899

Guozhen Lu, Yong-ping Liu

Publication date: 15 June 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3360

zbMATH Keywords

Sobolev spacesimultaneous approximationspolyharmonic cardinal spline

Mathematics Subject Classification ID

Simultaneous approximation (41A28)

Related Items (2)

Convergence of polyharmonic splines on semi-regular grids \(\mathbb Z \times \mathbb Z^n\) for \(a\rightarrow 0\) ⋮ Polyharmonic splines on grids $\mathbb{Z}\times a\mathbb{Z}^{n}$ and their limits

Cites Work

• Polyharmonic cardinal splines
• Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space
• \(L_ 2(\mathbb{R}^ n)\)-extremal problems on the basis of incomplete information
• Multivariate cardinal interpolation with radial-basis functions
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