Average \(B\)-width and infinite-dimensional \(G\)-width of some smooth function classes on the line

DOI10.1007/BF03182739zbMath0984.41018OpenAlexW2029727273MaRDI QIDQ5955890

Yanjie Jiang, Yong-ping Liu

Publication date: 18 February 2002

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03182739

zbMATH Keywords

average \(\sigma-B\) widthinfinite dimensional \(\sigma-G\) widthSobolev-Wiener class

Mathematics Subject Classification ID

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

Cites Work

• Average Kolmogorov \(n\)-widths (\(n\)-K width) and optimal interpolation of Sobolev class in \(L_ p(\mathbb{R})\)
• Average width and optimal interpolation of the Sobolev-Wiener class \(W^ r_{pq}(\mathbb{R})\) in the metric \(L_ q(\mathbb{R})\)
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
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