Revista Matemática Complutense

, Volume 27, Issue 1, pp 167–212

Widths of weighted Sobolev classes on a John domain: strong singularity at a point

Article

DOI: 10.1007/s13163-013-0132-4

Cite this article as:
Vasil’eva, A.A. Rev Mat Complut (2014) 27: 167. doi:10.1007/s13163-013-0132-4

Abstract

The paper is concerned with orders of Kolmogorov and linear widths of weighted Sobolev classes on a domain with John condition in a weighted Lebesgue space. It is assumed that at zero the weights have singularity, which may have effect on the orders of weights.

Keywords

Weighted Sobolev classesJohn domainWidths

Mathematics Subject Classification (2000)

41A46 (Approximation by arbitrary nonlinear expressions; widths and entropy)

Copyright information

© Universidad Complutense de Madrid 2013

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussian Federation