Optimal recovery of the Sobolev-Wiener class of smooth functions by double sampling

DOI10.1007/BF01204648zbMath0780.41005OpenAlexW1972554951MaRDI QIDQ690349

Yong Sheng Sun, Yong-ping Liu

Publication date: 26 January 1994

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01204648

zbMATH Keywords

optimal interpolation problemSobolev-Wiener class of smooth functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

Optimal Recovery of Isotropic Classes ofrth Differentiable Functions on ℝ^d

Cites Work

• Infinite dimensional Kolmogorov width and optimal interpolation on Sobolev--Wiener space
• Infinite dimensional widths and optimal recovery of some smooth function classes of \(L_ p(R)\) in metric \(L(R)\)
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• An Elementary Proof of Kolmogorov's Theorem
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