İsmail Aslan
Convergence in $\varphi$-Variation for Mellin-type Nonlinear Integral Operators, The Journal of Analysis, in press.

In the present paper, we examine Mellin-type nonlinear integral operators equipped with the Haar measure. Using $\varphi$-absolutely continuous functions, we obtain some approximations via summability process. Order of convergence is also observed. In addition, we have a general characterization theorem for $\varphi$-absolutely continuous functions. Finally, we give an application of our study with some illustrations and numerical computations.