English

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives

Functional Analysis 2021-02-03 v1

Abstract

In this paper order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted Lp1L_{p_1}-norm of the r-th derivative and the weighted Lp0L_{p_0}-norm of zero derivative.

Keywords

Cite

@article{arxiv.2006.11564,
  title  = {Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives},
  author = {A. A. Vasil'eva},
  journal= {arXiv preprint arXiv:2006.11564},
  year   = {2021}
}