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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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 147–157, February, 2010.
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Babenko, V.F., Parfinovich, N. On the order of relative approximation of classes of differentiable periodic functions by splines. Ukr Math J 62, 163–174 (2010). https://doi.org/10.1007/s11253-010-0341-7
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DOI: https://doi.org/10.1007/s11253-010-0341-7