Summary: Using a generalized translation operator, we obtain an analog of M. S. Younis Theorem 5.2 in [Int. J. Math. Math. Sci. 9, 301–312 (1986; Zbl 0595.42006)] for the generalized Fourier-Dunkl transform for functions satisfying the Fourier-Dunkl Dini Lipschitz condition in the space \(L_{\alpha,n}^2\).