In this paper, a theorem of Bor and Özarslan [3] dealing with | C,α; β |k summability factors has been generalized for | C,α, γ ; β |k summability methods.
Using an almost increasing sequence, a result of Mazhar (1977) on |C,1|k summability factors has been generalized for |C,α;β|k and |N̄,pn;β|k summability factors under weaker conditions. 2000 Mathematics Subject Classification. 40D15, 40F05, 40G05.