Average width and optimal interpolation of the Sobolev-Wiener class \(W^ r_{pq}(\mathbb{R})\) in the metric \(L_ q(\mathbb{R})\)

DOI10.1006/jath.1993.1069zbMath0790.41002OpenAlexW2030069879MaRDI QIDQ1308801

Yong-ping Liu, Gen Sun Fang

Publication date: 22 June 1994

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

Full work available at URL: https://doi.org/10.1006/jath.1993.1069

zbMATH Keywords

optimal interpolationaverage \(\sigma-K\) widthsKolmogorv average \(\sigma\)-width

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Approximation by positive operators (41A36)

Related Items (3)

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 ⋮ Some extremal properties of multivariate polynomial splines in the metric \(L_p(\mathbb R^d)\)

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