We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator Hα,β,𝛿,𝜉,γ,nf(v) and offer numerous new findings for fourth-order differential subordination and superordination The innovative discoveries presented here are connected to those mentioned in previous articles. The differential subordination theory’s characteristics and outcomes are symmetric to the properties gained. Sandwich-type theorems are created by merging differential superordination theory with sandwich-type theorems.

Th  goal of the pr s nt p p r is to obt in some differ tial sub rdin tion an  sup r dination the rems for univalent functions related b  differential operator  Also, we discussed some sandwich-type results.