This article is cited in 1 paper

The information Kolmogorov width and some exact inequalities between widths

E. M. Skorikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We introduce a new type of width, estimate its order for a class of functions of several variables and derive some exact inequalities connecting the classical widths.

UDC: 517.982.256

MSC: 52A05, 52A40, 52C17, 41A10, 41A30, 41A25, 41A46, 41A63, 41A65, 42A05, 42A10, 42A20, 42B05, 42B99, 46A45, 46E15, 46E30, 46E35, 46B99

Received: 18.05.2005

DOI: 10.4213/im843

 English version: Izvestiya: Mathematics, 2007, 71:3, 603–627

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