In tlıis paper, the authors havc proved four tlıeorems concerning I (R, exp |log w)A f, a) (C, 1)İ(A 0, a 0) summability of the Fourier series, its factored conjugate scries and their derived series. Earlier, these results were obtained by Chandra [I ] for |R, exp{logw loglogwj, I + a ] (a > 0) summability. Also it has been shown that the sequence of factors j 1 /log(n-)-l)]- used for the conjugate series and its derived series can not be dropped.