A Sufficient Condition for F .-Effectiveness of the 1 C1T-Method

The study of F.-effectiveness of the Np-method was initiated by Hille and Tamarkin. In this direction, Dikshit investigated F1.-effectiveness of the product method C1Np-method. Recently Kumar and Prasad established the necessary condition for F1.-effectiveness of the product method. In this note, we extend the corresponding sufficient part of Kumar and Prasad to the C1T-method.