Degree of approximation of functions belonging to different Lipschitz classes had been an area of interest for the researchers as they provide us with tools which help us in better approximation of signals. In this paper, we study the degree of approximation of signals belonging to the weighted \(W(L_r,\eta (u))\) class of its Fourier series by \((C,\alpha ,\theta )(E,q)\) summability. Since, \((C,\alpha ,\theta )\) mean is more generalized than \((C,\alpha )\) or (C, 1) mean, our theorem generalizes many of the previously existing theorems.