A remarkable multiple analogue of the Stirling numbers of the first and second kind was recently constructed by the author. Certain summation identities , and related properties of this family of multiple special numbers are investigated in the present paper.
By using the concept of Ᏽ-convergence defined by Kostyrko et al. in 2001, the Ᏽ-limit superior of real sequences was introduced and the inequality Ᏽ − limsup(Ax) ≤ Ᏽ − limsup(x) for all x ∈ ∞ was studied by Demirci in 2001. In this paper, we have characterized a class of Ᏽ-conservative matrices by studying some new inequalities related to the Ᏽ-limit… (More)