İsmail Aslan
Multivariate approximation in φ-variation for nonlinear integral operators via summability methods, Turkish journal of mathematics, 46 (1), 277-298, 2022.

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.