In this paper, we establish quantitative estimates for nonlinear sampling Kantorovich operators in terms of the modulus of smoothness in the setting of Orlicz spaces. This general frame allows us to directly deduce some quantitative estimates of approximation in \(L^{p}\)-spaces, \(1\le p<\infty \), and in other well-known instances of Orlicz spaces, such as the Zygmung and the exponential spaces. Further, the qualitative order of approximation has been obtained assuming f in suitable Lipschitz classes. The above estimates achieved in the general setting of Orlicz spaces, have been also improved in the \(L^p\)-case, using a direct approach suitable to this context. At the end, we consider the particular cases of the nonlinear sampling Kantorovich operators constructed by using some special kernels.

在本文中，我们根据Orlicz空间设置中的平滑模量，建立了非线性采样Kantorovich算子的定量估计。这个通用框架使我们可以直接推导\（L ^ {p} \）-空间，\（1 \ le p <\ infty \）以及其他Orlicz空间实例的近似量化估计。作为Zygmung和指数空间。此外，假设在合适的Lipschitz类中为f，可以获得近似的定性顺序。在Orlicz空间的一般设置中实现的上述估计在\（L ^ p \）中也得到了改进-案例，使用适合此上下文的直接方法。最后，我们考虑了使用某些特殊内核构造的非线性采样Kantorovich算子的特殊情况。