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.