We consider convolution-type nonlinear integral operators endowed with Musielak-Orlicz φ-variation. Our
aim is to get more powerful approximation results with the help of summability methods. In this study, we use φ-
absolutely continuous functions for our convergence results. Moreover, we study the order of approximation using suitable
Lipschitz class of continuous functions. A general characterization theorem for φ-absolutely continuous functions is also
obtained. We also give some examples of kernels in order to verify our approximations. At the end, we indicate our
approximations in figures together with some numerical computations.