Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces

Abstract In the present paper we study perturbed sampling Kantorovich operators in general context of modular spaces. After proving a convergence result for continuous functions with compact support, by using both inequality and density approach, establish main these operators. Further, show several instances spaces which results can be applied. particular, some applications Musielak–Orlicz Orlicz also consider case functional that does not have an integral representation generating space, reduced to previous mentioned ones.