1/2-superderivation and transposed Poisson structures on the super Heisenberg-Virasoro algebra

We describe transposed Poisson structures on the super Heisenberg-Virasoro algebra. We show that the super Heisenberg-Virasoro algebra does not admit non-trivial 1/2 -superderivations, and consequently it does not possess non-trivial transposed Poisson structures.