Generalized Kantorovich sampling type series on hypergroups

A. Sathish Kumar, Mahmood Pourgholamhossein, Seyyed Mohammad Tabatabaie

In this article, we introduce and study a family of integral operators in the Kantorovich sense acting on functions defined on hypergroups. We obtain the pointwise and uniform convergence results for these operators in the setting of Orlicz spaces with respect to the modular convergence.