This article is cited in 3 papers

Widths of classes of finitely smooth functions in Sobolev spaces

S. N. Kudryavtsev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: We describe the weak asymptotics of the behavior of the Kolmogorov, Gelfand, linear, Aleksandrov, and entropy widths of the unit ball of the space $W_p^lH^\omega(I^d)$ in the space $W_q^m(I^d)$.

UDC: 517.5

Received: 14.12.2001
Revised: 03.02.2004

DOI: 10.4213/mzm2514

 English version: Mathematical Notes, 2005, 77:4, 494–498

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