Perturbed companions of Ostrowski type inequalities for $n$-times differentiable functions and applications

We firstly examine some inequalities obtained by using sets of complex-valued functions for functions whose high order derivatives are restricted. We also give some approximations for the functions whose derivatives up to the order $n-1$ $(n\geq 1)$ are continuous and whose the $n$th derivatives are of bounded variation. So, the results provide extensions of those presented in earlier works.