On the order of relative approximation of classes of differentiable periodic functions by splines |
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| Authors: | V F Babenko NV Parfinovich |
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| Institution: | 1.Dnepropetrovsk National University,Dnepropetrovsk,Ukraine;2.Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences,Donetsk,Ukraine |
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| Abstract: | In the case where n → ∞, we obtain order equalities for the best L
q
-approximations of the classes W
p
r
, 1 ≤ q ≤ p ≤ 2, of differentiable periodical functions by splines from these classes. |
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| Keywords: | |
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