Savaş, E.2025-05-102025-05-1020061331-434310.7153/mia-09-632-s2.0-33751262684https://doi.org/10.7153/mia-09-63https://hdl.handle.net/20.500.14720/6453In this paper, we establish a summability factor theorem for summability |A, δ|k as defined in (2) where A is a lower triangular matrix with non-negative entries satisfying certain conditions. This paper is an extension of the main result of [3] using definition (2) below. Let A be a lower triangular matrix, {sn} a sequence. Then An := ∑v=0nanvsv. A series ∑a n is said to be summable |A|k, k ≥ 1 if ∑n=1∞ nk-1|An - A n-1|k < ∞. (1) and it is said to be summable |A, δ|k, k ≥ 1 and δ ≥ 0 if (see,[1]) ∑n=1∞ nδk+k-1|An - An-1|k < ∞. © ELEMENT.eninfo:eu-repo/semantics/closedAccessAbsolute SummabilityAlmost Increasing Summability FactorsArticle94Q2Q2717723WOS:000241960500012