Infinite dimensional widths and optimal recovery of some smooth function classes of \(L_ p(R)\) in metric \(L(R)\)

DOI10.1007/BF02905078zbMath0811.41020OpenAlexW2370136418MaRDI QIDQ1313682

Yong-ping Liu

Publication date: 7 March 1994

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02905078

Mathematics Subject Classification ID

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

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Cites Work

• Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
• Average Kolmogorov \(n\)-widths (\(n\)-K width) and optimal interpolation of Sobolev class in \(L_ p(\mathbb{R})\)
• On space of functions of Wiener
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
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