On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines

  • N. V. Parfinovych Днепропетр. нац. ун-т

Abstract

We obtain the exact asymptotics (as n → ∞) of the best L 1-approximations of classes \(W_1^r\) of periodic functions by splines sS 2n, r − 1 and sS 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.
Published
25.04.2001
How to Cite
ParfinovychN. 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.
Section
Research articles