Recently, Bor [5] has obtained two main theorems dealing with |?N,pn|k
summability factors of infinite series and Fourier series. In the present
paper, we have generalized these theorems for |A,?n|k summability method by
using quasi-monotone sequences.
In this paper using δ-quasi-monotone sequences a theorem on summability factors of infinite series, which generalises a theorem of Mazhar [7] on |C, 1|k summability factors of infinite series, is proved. Also we apply the theorem to Fourier series.