2019
Том 71
№ 9

# On the order of relative approximation of classes of differentiable periodic functions by splines

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 163-174.

Citation Example: Babenko V. F., Parfinovych N. V. On the order of relative approximation of classes of differentiable periodic functions by splines // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 147–157.

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