International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 38530, 9 pages
doi:10.1155/2007/38530
Research Article
On Weak Statistical Convergence
Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India
Received 27 June 2007; Revised 28 September 2007; Accepted 10 October 2007
Academic Editor: Narendra K. Govil
Copyright © 2007 Vinod K. Bhardwaj and Indu Bala. 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 main object of this paper is to introduce a new concept of weak statistically Cauchy
sequence in a normed space. It is shown that in a reflexive space, weak statistically
Cauchy sequences are the same as weakly statistically convergent sequences. Finally,
weak statistical convergence has been discussed in lp spaces.