International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 21, Pages 3443-3452
doi:10.1155/IJMMS.2005.3443

A class of ℐ-conservative matrices

Celal Çakan and Hüsamettin Çoşkun

Faculty of Education, Inönü, Malatya 44280, Turkey

Received 7 April 2005; Revised 20 September 2005

Copyright © 2005 Celal Çakan and Hüsamettin Çoşkun. 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

By using the concept of ℐ-convergence defined by Kostyrko et al. in 2001, the ℐ-limit superior of real sequences was introduced and the inequality ℐ−lim⁡sup⁡(Ax)≤ℐ−lim⁡sup⁡(x) for all x∈ℓ∞ was studied by Demirci in 2001. In this paper, we have characterized a class of ℐ-conservative matrices by studying some new inequalities related to the ℐ-limit superior.