Approximation of Sobolev Classes by Their Finite-Dimensional Sections |
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| Authors: | Konovalov V N |
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| Institution: | 1. Mathematics Institute, National Academy of Sciences of Ukraine, Ukraine
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| Abstract: | We consider relative widths characterizing the best approximation of a fixed set by its sections of given dimension. For Sobolev classes of periodic functions of a single variable with constraints inL ∞ orL 1 on higher-order derivatives, we present the exact orders of such widths in the spaces L q. |
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