Approximative characteristics of the isotropic classes of periodic functions of many variables |
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Authors: | A. S. Romanyuk |
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Affiliation: | 1.Institute of Mathematics,Ukrainian National Academy of Sciences,Kiev,Ukraine |
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Abstract: | Exact-order estimates are obtained for the best orthogonal trigonometric approximations of the Besov (B p,θ r ) and Nukol’skii (H p r ) classes of periodic functions of many variables in the metric of L q , 1 ≤ p, q ≤ ∞. We also establish the orders of the best approximations of functions from the same classes in the spaces L 1 and L ∞ by trigonometric polynomials with the corresponding spectrum. |
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