  In this paper, we study the order of approximation for max-product
Kantorovich sampling operators based upon generalized kernels in the setting of
Orlicz spaces. We establish a quantitative estimate for the considered family
of sampling-type operators using the Orlicz-type modulus of smoothness, which
involves the modular functional of the space. From this result, it is possible
to obtain the qualitative order of convergence when functions belonging to
suitable Lipschitz classes are considered. On the other hand, in the compact
case, we exploit a suitable definition of K-functional in Orlicz spaces in
order to provide an upper bound for the approximation error of the involved
operators. The treatment in the general framework of Orlicz spaces allows one
to obtain a unifying theory on the rate of convergence, as the proved results
can be deduced for a wide range of functional spaces, such as $L^{p}$-spaces,
interpolation spaces and exponential spaces.
