On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines
Abstract
We obtain the exact asymptotics (as n → ∞) of the best L 1-approximations of classes Wr1 of periodic functions by splines s ∈ S 2n, r − 1 and s ∈ S 2n, r + k − 1 (S 2n, r is the set of 2π-periodic polynomial splines of order r and defect 1 with nodes at the points kπ/n, k ∈ Z) under certain restrictions on their derivatives.Downloads
Published
25.04.2001
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Section
Research articles
How to Cite
Parfinovych, N. V. “On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 4, Apr. 2001, pp. 489-00, https://umj.imath.kiev.ua/index.php/umj/article/view/4270.