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

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.