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

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

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.
Published
25.02.2010
How to Cite
BabenkoV. F., and ParfinovychN. V. “On the Order of Relative Approximation of Classes of Differentiable Periodic Functions by Splines”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 2, Feb. 2010, pp. 147–157, https://umj.imath.kiev.ua/index.php/umj/article/view/2851.
Section
Research articles