\(K\)-functionals for Besov spaces

DOI10.1016/0021-9045(91)90024-5zbMath0738.46037OpenAlexW2119950806MaRDI QIDQ1178506

Ronald A. DeVore, Xiang Ming Yu

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90024-5

zbMATH Keywords

\(K\)-functionalinterpolation spacesapproximation by free knot splinesinterpolation for Sobolev and Besov spacespair of quasi-normed spaces

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) Interpolation between normed linear spaces (46B70) Spline approximation (41A15) Abstract interpolation of topological vector spaces (46M35)

Related Items (3)

\(K\)-functional, weighted moduli of smoothness, and best weighted polynomial approximation on a simplex ⋮ Besov spaces and \(K\)-functionals in \(L_p,\quad 0<p<1\) ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

• Interpolation of linear operators
• Interpolation of linear operators on Sobolev spaces
• Interpolation of Besov Spaces
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