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Mixed Norm $n$-Widths

C. de Boor, R. Devore and K. Höllig
Proceedings of the American Mathematical Society
Vol. 80, No. 4 (Dec., 1980), pp. 577-583
DOI: 10.2307/2043427
Stable URL: http://www.jstor.org/stable/2043427
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Mixed Norm $n$-Widths
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Abstract

Recently, the Soviet mathematicians R. Ismagilov [4], E. Gluskin [3] and B. Kashin [5] have obtained some deep and surprising results on $n$-widths for Sobolev spaces in the mixed norm case. In this note, we will give a new and simpler proof of Gluskin's result and show its connection with a certain classical combinatorial problem.

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