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Infinite-dimensional widths in the spaces of functions. II

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Publication:1185253
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DOI10.1016/0021-9045(92)90046-QzbMath0776.41019MaRDI QIDQ1185253

Chun Li

Publication date: 28 June 1992

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


zbMATH Keywords

optimal recoverycardinal splines\(\infty\)-widths


Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items (4)

The infinite-dimensional widths and optimal recovery of generalized Besov classes ⋮ \(N\)-widths and average widths of Besov classes in Sobolev spaces ⋮ Relative infinite-dimensional width of Sobolev classes ⋮ Some extremal properties of multivariate polynomial splines in the metric \(L_p(\mathbb R^d)\)



Cites Work

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  • Functions of exponential type
  • Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
  • Infinite-dimensional widths in the spaces of function. I
  • Optimal recovery forW 2 r (ℝ) inL 2 (ℝ)
  • An Elementary Proof of Kolmogorov's Theorem


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