Approximation of continuous vector functions

  • V. F. Babenko
  • S. A. Pichugov Днепропетр. нац. ун-т ж.-д. трансп.

Abstract

We study the possibility of uniform approximation of continuous mappings of metric compact sets into metric spaces. Notions of “weak dimension” and “weak Kolmogorov width” are introduced to compare approximating properties of infinite-dimensional subspaces. For classes of mappings specified by the majorant of the modulus of continuity, we present bilateral estimates of “weak” widths that may coincide under certain conditions.
Published
25.11.1994
How to Cite
BabenkoV. F., and PichugovS. A. “Approximation of Continuous Vector Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 11, Nov. 1994, pp. 1435–1448, https://umj.imath.kiev.ua/index.php/umj/article/view/5583.
Section
Research articles