Exact order of relative widths of classes $W^r_1$ in the space $L_1$

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

Abstract

As $n \rightarrow \infty$ the exact order of relative widths of classes $W^r_1$ of periodic functions in the space $L_1$ is found under restrictions on higher derivatives of approximating functions.
Published
25.10.2005
How to Cite
Parfinovych, N. V. “Exact Order of Relative Widths of Classes $W^r_1$ in the Space $L_1$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 10, Oct. 2005, pp. 1409–1417, https://umj.imath.kiev.ua/index.php/umj/article/view/3694.
Section
Research articles