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Optimal recovery forW 2 r (ℝ) inL 2 (ℝ)

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Publication:3987752
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DOI10.1007/BF02594888zbMath0770.46017MaRDI QIDQ3987752

Chun Li, Yong Sheng Sun

Publication date: 28 June 1992

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


zbMATH Keywords

cardinal spline interpolationoptimal sampling pointsfunction values on denumerable pointsoptimal recovery for Sobolev function classes


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation in approximation theory (41A05) Spline approximation (41A15)


Related Items (4)

\(L_ 2(\mathbb{R}^ n)\)-extremal problems on the basis of incomplete information ⋮ On the cardinal spline interpolation corresponding to infinite order differential operators ⋮ Infinite-dimensional widths in the spaces of functions. II ⋮ Relative infinite-dimensional width of Sobolev classes



Cites Work

  • Functions of exponential type
  • An Elementary Proof of Kolmogorov's Theorem
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