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Approximation and entropy numbers of embeddings between approximation spaces. (English) Zbl 1396.41027

The authors present significant results concerning the degrees of compactness for the embeddings of the classical two-indexed approximation subspaces in the usual Euclidean spaces, following the approximation and the entropy numbers. As applications, one obtains the compact embeddings for some Besov spaces.

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46M35 Abstract interpolation of topological vector spaces
Full Text: DOI

References:

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