Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 841261, 6 pages
Research Article

Improved Bounds for Restricted Isometry Constants

School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received 27 February 2012; Accepted 9 May 2012

Academic Editor: Jinde Cao

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.


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.