Copyright © 2012 Jiabing Ji and Jigen Peng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to establish improved bounds for restricted isometry constants δk. Our results, to some extent, improve and extend the well-known bound (δk<0.307) in (Cai et al., 2010) to δk<0.308.