Average \(\sigma - K\) width of class of \(L_ p(\mathbf R^ n)\) in \(L_ q(\mathbf R^ n)\)

zbMath0829.46014MaRDI QIDQ1899641

Yong-ping Liu

Publication date: 21 January 1996

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

Sobolev-Wiener classaverage \(\sigma-K\) width

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

The average widths of Sobolev-Wiener classes and Besov-Wiener classes ⋮ Average width and optimal recovery of the anisotropic classes \(W^{r}H^{\alpha}({\mathbb R}^{d})\) in the metric \(C^{k}({\mathbb R}^{d})\) ⋮ Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) ⋮ The average widths and non-linear widths of the classes of multivariate functions with bounded moduli of smoothness.

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