On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables

  • A. S. Romanyuk

Abstract

Order estimates are obtained for the best approximations of the classesB 1, θ r in the spaceL q with 1<q<∞ and classesB ∞, θ r in a uniform metric. The behavior of Kolmogorov widths of the classesB p, θ r ,1<p≤∞, in the metric of L is studied.
Published
25.01.1995
How to Cite
RomanyukA. S. “On the Best Approximations and Kolmogorov Widths of Besov Classes of Periodic Functions of Many Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 1, Jan. 1995, pp. 79–92, https://umj.imath.kiev.ua/index.php/umj/article/view/5385.
Section
Research articles