Rhoades, B.E.Savaş, E.2025-05-102025-05-1020020161-171210.1155/S01611712020124252-s2.0-1542383861https://doi.org/10.1155/S0161171202012425https://hdl.handle.net/20.500.14720/6359We obtain necessary and (different) sufficient conditions for a series summable | N−, pn|k, 1<k≤s<∞, to imply that the series is summable |T|s, where (N−, pn) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems. © 2002 Hindawi Publishing Corporation. All rights reserved.eninfo:eu-repo/semantics/openAccessArticle323N/AQ2129138