Approximation results in Orlicz spaces by modified sampling Kantorovich operators

This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results. To show modular convergence of the corresponding operators in Orlicz spaces, we obtain well definiteness in Orlicz spaces and norm convergence in the space of continuous functions with compact support. In the last section, we present some examples of ρ -kernels which satisfy the corresponding assumptions and present some graphical representations.