In this paper a general theorem concerning the |A,@d|"k summability methods has been proved, which generalizes two results of Sevli and Leindler [H. Sevli and L. Leindler, On 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 @?a"n@l"n to be summable |A,@d|"k, k@?1, 0=<@d<1/k, by using quasi-power-increasing sequences.
['Hamdullah Şevli']
General absolute summability factor theorems involving quasi-power-increasing sequences