Approximation of Sobolev Classes by Their Sections of Finite Dimension |
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Authors: | Konovalov V. N. |
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Affiliation: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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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