26A15, 26A21, 26A45.

In [4] we extended an interesting theorem of Medvedeva [5] pertaining to the embedding relation where denotes the set of functions of -bounded variation, which is encountered in the theory of Fourier trigonometric series. Now we give a further generalization of our result. Our new theorem tries to unify the notion of -variation due to Young [6], and that of the generalized Wiener class due to Kita and Yoneda [3]. For further references we refer to the paper by Goginava [2].;