On the cardinal spline interpolation corresponding to infinite order differential operators

DOI10.1007/BF02560722zbMath0820.41010MaRDI QIDQ4319238

Di-Rong Chen

Publication date: 6 September 1995

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

cardinal splineoptimal subspaceaverage Kolmogorov widthsPólya frequency density

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• \(n\)-widths of some classes of periodic functions
• Average Kolmogorov \(n\)-widths (\(n\)-K width) and optimal interpolation of Sobolev class in \(L_ p(\mathbb{R})\)
• Optimal recovery forW 2 r (ℝ) inL 2 (ℝ)
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• A Miniature Theory in Illustration of the Convolution Transform
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