Quite recently, Rhoades and Savas [1] obtained sufficient conditions for ∑ anλn to be |A|k-summable, k ∈ N. In this paper a theorem on |A, δ|k-summability methods has been proved. Let A be a lower triangular matrix and {sn} be a sequence. Then An := n ∑ ν=0 anνsν . A series ∑ an is said to be summable |A|k, k ≥ 1 if ∞ ∑ n=1 n|An − An−1| <∞ (1) and it is… (More)