Approximative characteristics of the isotropic classes of periodic functions of many variables |
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Authors: | A S Romanyuk |
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Institution: | 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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Keywords: | |
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