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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1991 Volume 182, Number 1, Pages 122–129 (Mi sm1283)

This article is cited in 4 papers

On the degree of approximation of the Sobolev class $W_q^r$ by bilinear forms in $L_p$ for $1\leqslant q\leqslant p\leqslant 2$

M.-B. Babayev

Institute of Applied Mathematics and Mechanics AS of AzSSR

Abstract: The degree of best approximation by bilinear forms in $L_p$, where $1\leqslant q\leqslant p\leqslant 2$, is established for the class $W_q^r$.

UDC: 517.5

MSC: 41A30, 41A63, 41A25

Received: 28.10.1988 and 15.11.1989


 English version:
Mathematics of the USSR-Sbornik, 1992, 72:1, 113–120

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