On lower bounds for the widths of classes of functions defined by integral moduli of continuity

  • E. V. Derets

Abstract

We establish lower bounds for the Kolmogorov widths d 2n-1(W r H 1 ω .L p ) and Gel’fand widths d 2n-1(W r H 1 ω .L p ) of the classes of functions W r H 1 ω with a convex integral modulus of continuity ω(t).
Published
25.03.2000
How to Cite
DeretsE. V. “On Lower Bounds for the Widths of Classes of Functions Defined by Integral Moduli of Continuity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 3, Mar. 2000, pp. 319-28, https://umj.imath.kiev.ua/index.php/umj/article/view/4421.
Section
Research articles