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Approximation of Sobolev Classes by Their Sections of Finite Dimension
Authors:Konovalov  V. N.
Affiliation:(1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
Abstract:For Sobolev classes of periodic functions of one variable with restrictions on higher derivatives in L2, we determine the exact orders of relative widths characterizing the best approximation of a fixed set by its sections of given dimension in the spaces Lq.
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