Sevli, Hamdullah2025-05-102025-05-1020090895-717710.1016/j.mcm.2009.05.0312-s2.0-69249206621https://doi.org/10.1016/j.mcm.2009.05.031https://hdl.handle.net/20.500.14720/9922Sevli, Hamdullah/0009-0003-0258-031XIn this paper a general theorem concerning the vertical bar A, delta vertical bar(k) summability methods has been proved, which generalizes two results of Sevli and Leindler [H. Sevli and L. Leindler, n the absolute summability factors of infinite series involving quasi-power-increasing sequences, Computers and Mathematics with Applications 57 (2009), 702-709]. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A, delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-power- increasing sequences. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessSummability FactorsAbsolute SummabilityQuasi-Monotone SequencesAlmost Increasing SequencesInfinite SeriesArticle507-8N/AN/A11211127WOS:000269475200016