On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces

Here we provide a unifying treatment of the convergence general form sampling type operators, given by so-called Durrmeyer series. In particular pointwise and uniform theorem on $\mathbb{R}$, in this context also furnish quantitative estimate for order approximation, using modulus continuity function to be approximated. Then obtain modular setting Orlicz spaces $L^\varphi(\mathbb{R})$. From latter result, $L^p(\mathbb{R})$-space, $L^\alpha\log^\beta L$, exponential follow as cases. Finally, applications examples with graphical representations are several series special kernels.