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Average Kolmogorov \(n\)-widths (\(n\)-K width) and optimal interpolation of Sobolev class in \(L_ p(\mathbb{R})\)

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Publication:1206125
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zbMath0763.41019MaRDI QIDQ1206125

Di-Rong Chen

Publication date: 1 April 1993

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


zbMATH Keywords

widthsSobolev classes


Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)


Related Items (4)

On the cardinal spline interpolation corresponding to infinite order differential operators ⋮ Average \(B\)-width and infinite-dimensional \(G\)-width of some smooth function classes on the line ⋮ Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space ⋮ Infinite dimensional widths and optimal recovery of some smooth function classes of \(L_ p(R)\) in metric \(L(R)\)







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